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Finding the Fourth Proportional to 532,663.80, 735,071.18 and 290,946.30

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Solution

The fourth proportional to 532,663.80, 735,071.18 and 290,946.30 is: 401,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,663.80 : 735,071.18 = 290,946.30 : x
  2. Step 2: Convert to fraction form
    532,663.80/735,071.18 = 290,946.30/x
  3. Step 3: Cross multiply
    532,663.80x = 735,071.18 × 290,946.30
  4. Step 4: Simplify right side
    532,663.80x = 213,866,240,057.63
  5. Step 5: Solve for x
    x = 213,866,240,057.63/532,663.80
  6. Step 6: Final answer
    x = 401,503.24

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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.