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Finding the Fourth Proportional to 411,463.86, 614,461.70 and 407,010.58

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Solution

The fourth proportional to 411,463.86, 614,461.70 and 407,010.58 is: 607,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,463.86 : 614,461.70 = 407,010.58 : x
  2. Step 2: Convert to fraction form
    411,463.86/614,461.70 = 407,010.58/x
  3. Step 3: Cross multiply
    411,463.86x = 614,461.70 × 407,010.58
  4. Step 4: Simplify right side
    411,463.86x = 250,092,412,904.79
  5. Step 5: Solve for x
    x = 250,092,412,904.79/411,463.86
  6. Step 6: Final answer
    x = 607,811.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.