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Finding the Fourth Proportional to 438,411.30, 657,252.45 and 185,885.70

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Solution

The fourth proportional to 438,411.30, 657,252.45 and 185,885.70 is: 278,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,411.30 : 657,252.45 = 185,885.70 : x
  2. Step 2: Convert to fraction form
    438,411.30/657,252.45 = 185,885.70/x
  3. Step 3: Cross multiply
    438,411.30x = 657,252.45 × 185,885.70
  4. Step 4: Simplify right side
    438,411.30x = 122,173,831,744.97
  5. Step 5: Solve for x
    x = 122,173,831,744.97/438,411.30
  6. Step 6: Final answer
    x = 278,674.00

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Why These Related Problems?

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