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Finding the Fourth Proportional to 475,354.71, 712,552.01 and 297,986.04

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Solution

The fourth proportional to 475,354.71, 712,552.01 and 297,986.04 is: 446,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,354.71 : 712,552.01 = 297,986.04 : x
  2. Step 2: Convert to fraction form
    475,354.71/712,552.01 = 297,986.04/x
  3. Step 3: Cross multiply
    475,354.71x = 712,552.01 × 297,986.04
  4. Step 4: Simplify right side
    475,354.71x = 212,330,550,264.01
  5. Step 5: Solve for x
    x = 212,330,550,264.01/475,354.71
  6. Step 6: Final answer
    x = 446,678.12

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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.