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Finding the Fourth Proportional to 475,747.68, 657,347.76 and 458,718.24

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Solution

The fourth proportional to 475,747.68, 657,347.76 and 458,718.24 is: 633,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,747.68 : 657,347.76 = 458,718.24 : x
  2. Step 2: Convert to fraction form
    475,747.68/657,347.76 = 458,718.24/x
  3. Step 3: Cross multiply
    475,747.68x = 657,347.76 × 458,718.24
  4. Step 4: Simplify right side
    475,747.68x = 301,537,407,535.14
  5. Step 5: Solve for x
    x = 301,537,407,535.14/475,747.68
  6. Step 6: Final answer
    x = 633,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.