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Finding the Fourth Proportional to 473,681, 710,801.60 and 174,371.76

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Solution

The fourth proportional to 473,681, 710,801.60 and 174,371.76 is: 261,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,681 : 710,801.60 = 174,371.76 : x
  2. Step 2: Convert to fraction form
    473,681/710,801.60 = 174,371.76/x
  3. Step 3: Cross multiply
    473,681x = 710,801.60 × 174,371.76
  4. Step 4: Simplify right side
    473,681x = 123,943,726,002.82
  5. Step 5: Solve for x
    x = 123,943,726,002.82/473,681
  6. Step 6: Final answer
    x = 261,660.75

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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.