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Finding the Fourth Proportional to 255,909.60, 383,864.40 and 175,730.40

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Solution

The fourth proportional to 255,909.60, 383,864.40 and 175,730.40 is: 263,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,909.60 : 383,864.40 = 175,730.40 : x
  2. Step 2: Convert to fraction form
    255,909.60/383,864.40 = 175,730.40/x
  3. Step 3: Cross multiply
    255,909.60x = 383,864.40 × 175,730.40
  4. Step 4: Simplify right side
    255,909.60x = 67,456,644,557.76
  5. Step 5: Solve for x
    x = 67,456,644,557.76/255,909.60
  6. Step 6: Final answer
    x = 263,595.60

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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.