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Finding the Fourth Proportional to 473,263.20, 710,400.24 and 262,844.64

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Solution

The fourth proportional to 473,263.20, 710,400.24 and 262,844.64 is: 394,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,263.20 : 710,400.24 = 262,844.64 : x
  2. Step 2: Convert to fraction form
    473,263.20/710,400.24 = 262,844.64/x
  3. Step 3: Cross multiply
    473,263.20x = 710,400.24 × 262,844.64
  4. Step 4: Simplify right side
    473,263.20x = 186,724,895,338.71
  5. Step 5: Solve for x
    x = 186,724,895,338.71/473,263.20
  6. Step 6: Final answer
    x = 394,547.68

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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.