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Finding the Fourth Proportional to 532,642.57, 735,043.01 and 290,925.20

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Solution

The fourth proportional to 532,642.57, 735,043.01 and 290,925.20 is: 401,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,642.57 : 735,043.01 = 290,925.20 : x
  2. Step 2: Convert to fraction form
    532,642.57/735,043.01 = 290,925.20/x
  3. Step 3: Cross multiply
    532,642.57x = 735,043.01 × 290,925.20
  4. Step 4: Simplify right side
    532,642.57x = 213,842,535,075.83
  5. Step 5: Solve for x
    x = 213,842,535,075.83/532,642.57
  6. Step 6: Final answer
    x = 401,474.74

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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.