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Finding the Fourth Proportional to 310,829.36, 466,242.50 and 268,580.87

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Solution

The fourth proportional to 310,829.36, 466,242.50 and 268,580.87 is: 402,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,829.36 : 466,242.50 = 268,580.87 : x
  2. Step 2: Convert to fraction form
    310,829.36/466,242.50 = 268,580.87/x
  3. Step 3: Cross multiply
    310,829.36x = 466,242.50 × 268,580.87
  4. Step 4: Simplify right side
    310,829.36x = 125,223,817,110.86
  5. Step 5: Solve for x
    x = 125,223,817,110.86/310,829.36
  6. Step 6: Final answer
    x = 402,869.98

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