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Finding the Fourth Proportional to 478,184.36, 659,898.72 and 263,332.12

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Solution

The fourth proportional to 478,184.36, 659,898.72 and 263,332.12 is: 363,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,184.36 : 659,898.72 = 263,332.12 : x
  2. Step 2: Convert to fraction form
    478,184.36/659,898.72 = 263,332.12/x
  3. Step 3: Cross multiply
    478,184.36x = 659,898.72 × 263,332.12
  4. Step 4: Simplify right side
    478,184.36x = 173,772,528,922.89
  5. Step 5: Solve for x
    x = 173,772,528,922.89/478,184.36
  6. Step 6: Final answer
    x = 363,400.70

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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.