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Finding the Fourth Proportional to 475,116.56, 712,585.74 and 238,395.68

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Solution

The fourth proportional to 475,116.56, 712,585.74 and 238,395.68 is: 357,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,116.56 : 712,585.74 = 238,395.68 : x
  2. Step 2: Convert to fraction form
    475,116.56/712,585.74 = 238,395.68/x
  3. Step 3: Cross multiply
    475,116.56x = 712,585.74 × 238,395.68
  4. Step 4: Simplify right side
    475,116.56x = 169,877,362,045.60
  5. Step 5: Solve for x
    x = 169,877,362,045.60/475,116.56
  6. Step 6: Final answer
    x = 357,548.81

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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.