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Finding the Fourth Proportional to 438,032.30, 657,048.45 and 414,704.30

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Solution

The fourth proportional to 438,032.30, 657,048.45 and 414,704.30 is: 622,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,032.30 : 657,048.45 = 414,704.30 : x
  2. Step 2: Convert to fraction form
    438,032.30/657,048.45 = 414,704.30/x
  3. Step 3: Cross multiply
    438,032.30x = 657,048.45 × 414,704.30
  4. Step 4: Simplify right side
    438,032.30x = 272,480,817,523.34
  5. Step 5: Solve for x
    x = 272,480,817,523.34/438,032.30
  6. Step 6: Final answer
    x = 622,056.45

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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.