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Finding the Fourth Proportional to 390,942.64, 539,501.88 and 212,094.64

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Solution

The fourth proportional to 390,942.64, 539,501.88 and 212,094.64 is: 292,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,942.64 : 539,501.88 = 212,094.64 : x
  2. Step 2: Convert to fraction form
    390,942.64/539,501.88 = 212,094.64/x
  3. Step 3: Cross multiply
    390,942.64x = 539,501.88 × 212,094.64
  4. Step 4: Simplify right side
    390,942.64x = 114,425,457,017.92
  5. Step 5: Solve for x
    x = 114,425,457,017.92/390,942.64
  6. Step 6: Final answer
    x = 292,691.17

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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.