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Finding the Fourth Proportional to 282,420.60, 423,630.90 and 95,429.40

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Solution

The fourth proportional to 282,420.60, 423,630.90 and 95,429.40 is: 143,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420.60 : 423,630.90 = 95,429.40 : x
  2. Step 2: Convert to fraction form
    282,420.60/423,630.90 = 95,429.40/x
  3. Step 3: Cross multiply
    282,420.60x = 423,630.90 × 95,429.40
  4. Step 4: Simplify right side
    282,420.60x = 40,426,842,608.46
  5. Step 5: Solve for x
    x = 40,426,842,608.46/282,420.60
  6. Step 6: Final answer
    x = 143,144.10

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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.