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Finding the Fourth Proportional to 564,064.54, 778,283.19 and 334,505.20

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Solution

The fourth proportional to 564,064.54, 778,283.19 and 334,505.20 is: 461,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,064.54 : 778,283.19 = 334,505.20 : x
  2. Step 2: Convert to fraction form
    564,064.54/778,283.19 = 334,505.20/x
  3. Step 3: Cross multiply
    564,064.54x = 778,283.19 × 334,505.20
  4. Step 4: Simplify right side
    564,064.54x = 260,339,774,127.59
  5. Step 5: Solve for x
    x = 260,339,774,127.59/564,064.54
  6. Step 6: Final answer
    x = 461,542.53

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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.