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Finding the Fourth Proportional to 473,113.86, 652,896.86 and 258,253.87

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Solution

The fourth proportional to 473,113.86, 652,896.86 and 258,253.87 is: 356,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,113.86 : 652,896.86 = 258,253.87 : x
  2. Step 2: Convert to fraction form
    473,113.86/652,896.86 = 258,253.87/x
  3. Step 3: Cross multiply
    473,113.86x = 652,896.86 × 258,253.87
  4. Step 4: Simplify right side
    473,113.86x = 168,613,139,106.52
  5. Step 5: Solve for x
    x = 168,613,139,106.52/473,113.86
  6. Step 6: Final answer
    x = 356,390.19

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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.