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Finding the Fourth Proportional to 473,754.48, 653,753.34 and 258,896.16

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Solution

The fourth proportional to 473,754.48, 653,753.34 and 258,896.16 is: 357,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,754.48 : 653,753.34 = 258,896.16 : x
  2. Step 2: Convert to fraction form
    473,754.48/653,753.34 = 258,896.16/x
  3. Step 3: Cross multiply
    473,754.48x = 653,753.34 × 258,896.16
  4. Step 4: Simplify right side
    473,754.48x = 169,254,229,313.17
  5. Step 5: Solve for x
    x = 169,254,229,313.17/473,754.48
  6. Step 6: Final answer
    x = 357,261.49

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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.