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Finding the Fourth Proportional to 438,429.30, 657,643.95 and 202,233.30

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Solution

The fourth proportional to 438,429.30, 657,643.95 and 202,233.30 is: 303,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,429.30 : 657,643.95 = 202,233.30 : x
  2. Step 2: Convert to fraction form
    438,429.30/657,643.95 = 202,233.30/x
  3. Step 3: Cross multiply
    438,429.30x = 657,643.95 × 202,233.30
  4. Step 4: Simplify right side
    438,429.30x = 132,997,506,233.54
  5. Step 5: Solve for x
    x = 132,997,506,233.54/438,429.30
  6. Step 6: Final answer
    x = 303,349.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.