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Finding the Fourth Proportional to 547,097.88, 822,090.06 and 294,565.08

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Solution

The fourth proportional to 547,097.88, 822,090.06 and 294,565.08 is: 442,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,097.88 : 822,090.06 = 294,565.08 : x
  2. Step 2: Convert to fraction form
    547,097.88/822,090.06 = 294,565.08/x
  3. Step 3: Cross multiply
    547,097.88x = 822,090.06 × 294,565.08
  4. Step 4: Simplify right side
    547,097.88x = 242,159,024,291.11
  5. Step 5: Solve for x
    x = 242,159,024,291.11/547,097.88
  6. Step 6: Final answer
    x = 442,624.68

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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.