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Finding the Fourth Proportional to 704,341.34, 971,991.02 and 398,411.16

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Solution

The fourth proportional to 704,341.34, 971,991.02 and 398,411.16 is: 549,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,341.34 : 971,991.02 = 398,411.16 : x
  2. Step 2: Convert to fraction form
    704,341.34/971,991.02 = 398,411.16/x
  3. Step 3: Cross multiply
    704,341.34x = 971,991.02 × 398,411.16
  4. Step 4: Simplify right side
    704,341.34x = 387,252,069,787.78
  5. Step 5: Solve for x
    x = 387,252,069,787.78/704,341.34
  6. Step 6: Final answer
    x = 549,807.38

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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.