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Finding the Fourth Proportional to 520,058.67, 714,925.60 and 447,194.71

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Solution

The fourth proportional to 520,058.67, 714,925.60 and 447,194.71 is: 614,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,058.67 : 714,925.60 = 447,194.71 : x
  2. Step 2: Convert to fraction form
    520,058.67/714,925.60 = 447,194.71/x
  3. Step 3: Cross multiply
    520,058.67x = 714,925.60 × 447,194.71
  4. Step 4: Simplify right side
    520,058.67x = 319,710,946,363.58
  5. Step 5: Solve for x
    x = 319,710,946,363.58/520,058.67
  6. Step 6: Final answer
    x = 614,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.