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Finding the Fourth Proportional to 458,473.74, 686,897.01 and 191,646.06

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Solution

The fourth proportional to 458,473.74, 686,897.01 and 191,646.06 is: 287,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,473.74 : 686,897.01 = 191,646.06 : x
  2. Step 2: Convert to fraction form
    458,473.74/686,897.01 = 191,646.06/x
  3. Step 3: Cross multiply
    458,473.74x = 686,897.01 × 191,646.06
  4. Step 4: Simplify right side
    458,473.74x = 131,641,105,592.28
  5. Step 5: Solve for x
    x = 131,641,105,592.28/458,473.74
  6. Step 6: Final answer
    x = 287,129.00

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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.