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Finding the Fourth Proportional to 473,143.40, 709,715.10 and 286,519.40

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Solution

The fourth proportional to 473,143.40, 709,715.10 and 286,519.40 is: 429,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,143.40 : 709,715.10 = 286,519.40 : x
  2. Step 2: Convert to fraction form
    473,143.40/709,715.10 = 286,519.40/x
  3. Step 3: Cross multiply
    473,143.40x = 709,715.10 × 286,519.40
  4. Step 4: Simplify right side
    473,143.40x = 203,347,144,622.94
  5. Step 5: Solve for x
    x = 203,347,144,622.94/473,143.40
  6. Step 6: Final answer
    x = 429,779.10

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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.