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Finding the Fourth Proportional to 532,666.47, 735,078.90 and 290,949.04

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Solution

The fourth proportional to 532,666.47, 735,078.90 and 290,949.04 is: 401,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,666.47 : 735,078.90 = 290,949.04 : x
  2. Step 2: Convert to fraction form
    532,666.47/735,078.90 = 290,949.04/x
  3. Step 3: Cross multiply
    532,666.47x = 735,078.90 × 290,949.04
  4. Step 4: Simplify right side
    532,666.47x = 213,870,498,824.51
  5. Step 5: Solve for x
    x = 213,870,498,824.51/532,666.47
  6. Step 6: Final answer
    x = 401,509.22

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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.