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Finding the Fourth Proportional to 475,444.83, 712,904.81 and 195,158.91

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Solution

The fourth proportional to 475,444.83, 712,904.81 and 195,158.91 is: 292,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,444.83 : 712,904.81 = 195,158.91 : x
  2. Step 2: Convert to fraction form
    475,444.83/712,904.81 = 195,158.91/x
  3. Step 3: Cross multiply
    475,444.83x = 712,904.81 × 195,158.91
  4. Step 4: Simplify right side
    475,444.83x = 139,129,724,677.56
  5. Step 5: Solve for x
    x = 139,129,724,677.56/475,444.83
  6. Step 6: Final answer
    x = 292,630.64

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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.