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Finding the Fourth Proportional to 601,407.04, 829,462.80 and 386,569.12

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Solution

The fourth proportional to 601,407.04, 829,462.80 and 386,569.12 is: 533,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,407.04 : 829,462.80 = 386,569.12 : x
  2. Step 2: Convert to fraction form
    601,407.04/829,462.80 = 386,569.12/x
  3. Step 3: Cross multiply
    601,407.04x = 829,462.80 × 386,569.12
  4. Step 4: Simplify right side
    601,407.04x = 320,644,704,668.74
  5. Step 5: Solve for x
    x = 320,644,704,668.74/601,407.04
  6. Step 6: Final answer
    x = 533,157.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.