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Finding the Fourth Proportional to 288,050.60, 431,711.40 and 110,320.40

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Solution

The fourth proportional to 288,050.60, 431,711.40 and 110,320.40 is: 165,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,050.60 : 431,711.40 = 110,320.40 : x
  2. Step 2: Convert to fraction form
    288,050.60/431,711.40 = 110,320.40/x
  3. Step 3: Cross multiply
    288,050.60x = 431,711.40 × 110,320.40
  4. Step 4: Simplify right side
    288,050.60x = 47,626,574,332.56
  5. Step 5: Solve for x
    x = 47,626,574,332.56/288,050.60
  6. Step 6: Final answer
    x = 165,341.00

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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.