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Finding the Fourth Proportional to 564,045.14, 845,646.93 and 339,352.93

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Solution

The fourth proportional to 564,045.14, 845,646.93 and 339,352.93 is: 508,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,045.14 : 845,646.93 = 339,352.93 : x
  2. Step 2: Convert to fraction form
    564,045.14/845,646.93 = 339,352.93/x
  3. Step 3: Cross multiply
    564,045.14x = 845,646.93 × 339,352.93
  4. Step 4: Simplify right side
    564,045.14x = 286,972,759,212.77
  5. Step 5: Solve for x
    x = 286,972,759,212.77/564,045.14
  6. Step 6: Final answer
    x = 508,776.23

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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.