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Finding the Fourth Proportional to 473,235.40, 709,853.10 and 286,611.40

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Solution

The fourth proportional to 473,235.40, 709,853.10 and 286,611.40 is: 429,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,235.40 : 709,853.10 = 286,611.40 : x
  2. Step 2: Convert to fraction form
    473,235.40/709,853.10 = 286,611.40/x
  3. Step 3: Cross multiply
    473,235.40x = 709,853.10 × 286,611.40
  4. Step 4: Simplify right side
    473,235.40x = 203,451,990,785.34
  5. Step 5: Solve for x
    x = 203,451,990,785.34/473,235.40
  6. Step 6: Final answer
    x = 429,917.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.