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Finding the Fourth Proportional to 295,412.60, 442,535.70 and 176,731.40

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Solution

The fourth proportional to 295,412.60, 442,535.70 and 176,731.40 is: 264,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,412.60 : 442,535.70 = 176,731.40 : x
  2. Step 2: Convert to fraction form
    295,412.60/442,535.70 = 176,731.40/x
  3. Step 3: Cross multiply
    295,412.60x = 442,535.70 × 176,731.40
  4. Step 4: Simplify right side
    295,412.60x = 78,209,953,810.98
  5. Step 5: Solve for x
    x = 78,209,953,810.98/295,412.60
  6. Step 6: Final answer
    x = 264,748.20

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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.