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Finding the Fourth Proportional to 403,417.30, 605,061.15 and 122,869.30

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Solution

The fourth proportional to 403,417.30, 605,061.15 and 122,869.30 is: 184,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,417.30 : 605,061.15 = 122,869.30 : x
  2. Step 2: Convert to fraction form
    403,417.30/605,061.15 = 122,869.30/x
  3. Step 3: Cross multiply
    403,417.30x = 605,061.15 × 122,869.30
  4. Step 4: Simplify right side
    403,417.30x = 74,343,439,957.70
  5. Step 5: Solve for x
    x = 74,343,439,957.70/403,417.30
  6. Step 6: Final answer
    x = 184,284.21

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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.