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Finding the Fourth Proportional to 468,253.60, 702,309.12 and 152,710

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Solution

The fourth proportional to 468,253.60, 702,309.12 and 152,710 is: 229,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,253.60 : 702,309.12 = 152,710 : x
  2. Step 2: Convert to fraction form
    468,253.60/702,309.12 = 152,710/x
  3. Step 3: Cross multiply
    468,253.60x = 702,309.12 × 152,710
  4. Step 4: Simplify right side
    468,253.60x = 107,249,625,715.20
  5. Step 5: Solve for x
    x = 107,249,625,715.20/468,253.60
  6. Step 6: Final answer
    x = 229,041.75

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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.