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Finding the Fourth Proportional to 509,303.60, 763,397.40 and 256,180.40

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Solution

The fourth proportional to 509,303.60, 763,397.40 and 256,180.40 is: 383,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303.60 : 763,397.40 = 256,180.40 : x
  2. Step 2: Convert to fraction form
    509,303.60/763,397.40 = 256,180.40/x
  3. Step 3: Cross multiply
    509,303.60x = 763,397.40 × 256,180.40
  4. Step 4: Simplify right side
    509,303.60x = 195,567,451,290.96
  5. Step 5: Solve for x
    x = 195,567,451,290.96/509,303.60
  6. Step 6: Final answer
    x = 383,989.93

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1.5x scale

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.