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Finding the Fourth Proportional to 475,349.01, 712,543.75 and 297,980.59

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Solution

The fourth proportional to 475,349.01, 712,543.75 and 297,980.59 is: 446,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,349.01 : 712,543.75 = 297,980.59 : x
  2. Step 2: Convert to fraction form
    475,349.01/712,543.75 = 297,980.59/x
  3. Step 3: Cross multiply
    475,349.01x = 712,543.75 × 297,980.59
  4. Step 4: Simplify right side
    475,349.01x = 212,324,205,535.91
  5. Step 5: Solve for x
    x = 212,324,205,535.91/475,349.01
  6. Step 6: Final answer
    x = 446,670.13

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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.