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Finding the Fourth Proportional to 674,530.46, 930,946.97 and 429,436.92

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Solution

The fourth proportional to 674,530.46, 930,946.97 and 429,436.92 is: 592,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,530.46 : 930,946.97 = 429,436.92 : x
  2. Step 2: Convert to fraction form
    674,530.46/930,946.97 = 429,436.92/x
  3. Step 3: Cross multiply
    674,530.46x = 930,946.97 × 429,436.92
  4. Step 4: Simplify right side
    674,530.46x = 399,782,999,480.13
  5. Step 5: Solve for x
    x = 399,782,999,480.13/674,530.46
  6. Step 6: Final answer
    x = 592,683.39

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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.