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Finding the Fourth Proportional to 362,430.30, 543,775.05 and 152,132.70

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Solution

The fourth proportional to 362,430.30, 543,775.05 and 152,132.70 is: 228,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,430.30 : 543,775.05 = 152,132.70 : x
  2. Step 2: Convert to fraction form
    362,430.30/543,775.05 = 152,132.70/x
  3. Step 3: Cross multiply
    362,430.30x = 543,775.05 × 152,132.70
  4. Step 4: Simplify right side
    362,430.30x = 82,725,966,549.14
  5. Step 5: Solve for x
    x = 82,725,966,549.14/362,430.30
  6. Step 6: Final answer
    x = 228,253.45

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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.