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Finding the Fourth Proportional to 473,156.12, 652,955.16 and 258,296.13

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Solution

The fourth proportional to 473,156.12, 652,955.16 and 258,296.13 is: 356,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,156.12 : 652,955.16 = 258,296.13 : x
  2. Step 2: Convert to fraction form
    473,156.12/652,955.16 = 258,296.13/x
  3. Step 3: Cross multiply
    473,156.12x = 652,955.16 × 258,296.13
  4. Step 4: Simplify right side
    473,156.12x = 168,655,790,891.53
  5. Step 5: Solve for x
    x = 168,655,790,891.53/473,156.12
  6. Step 6: Final answer
    x = 356,448.51

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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.