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Finding the Fourth Proportional to 417,702.53, 576,430.61 and 226,715.93

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Solution

The fourth proportional to 417,702.53, 576,430.61 and 226,715.93 is: 312,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,702.53 : 576,430.61 = 226,715.93 : x
  2. Step 2: Convert to fraction form
    417,702.53/576,430.61 = 226,715.93/x
  3. Step 3: Cross multiply
    417,702.53x = 576,430.61 × 226,715.93
  4. Step 4: Simplify right side
    417,702.53x = 130,685,997,810.89
  5. Step 5: Solve for x
    x = 130,685,997,810.89/417,702.53
  6. Step 6: Final answer
    x = 312,868.58

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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.