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Finding the Fourth Proportional to 564,113.64, 778,463.46 and 309,462.60

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Solution

The fourth proportional to 564,113.64, 778,463.46 and 309,462.60 is: 427,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,113.64 : 778,463.46 = 309,462.60 : x
  2. Step 2: Convert to fraction form
    564,113.64/778,463.46 = 309,462.60/x
  3. Step 3: Cross multiply
    564,113.64x = 778,463.46 × 309,462.60
  4. Step 4: Simplify right side
    564,113.64x = 240,905,326,336.60
  5. Step 5: Solve for x
    x = 240,905,326,336.60/564,113.64
  6. Step 6: Final answer
    x = 427,051.06

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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.