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Finding the Fourth Proportional to 459,909.42, 634,706.06 and 255,977.16

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Solution

The fourth proportional to 459,909.42, 634,706.06 and 255,977.16 is: 353,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,909.42 : 634,706.06 = 255,977.16 : x
  2. Step 2: Convert to fraction form
    459,909.42/634,706.06 = 255,977.16/x
  3. Step 3: Cross multiply
    459,909.42x = 634,706.06 × 255,977.16
  4. Step 4: Simplify right side
    459,909.42x = 162,470,253,393.70
  5. Step 5: Solve for x
    x = 162,470,253,393.70/459,909.42
  6. Step 6: Final answer
    x = 353,265.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.