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Finding the Fourth Proportional to 473,134.40, 709,701.60 and 286,510.40

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Solution

The fourth proportional to 473,134.40, 709,701.60 and 286,510.40 is: 429,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,134.40 : 709,701.60 = 286,510.40 : x
  2. Step 2: Convert to fraction form
    473,134.40/709,701.60 = 286,510.40/x
  3. Step 3: Cross multiply
    473,134.40x = 709,701.60 × 286,510.40
  4. Step 4: Simplify right side
    473,134.40x = 203,336,889,296.64
  5. Step 5: Solve for x
    x = 203,336,889,296.64/473,134.40
  6. Step 6: Final answer
    x = 429,765.60

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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.