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Finding the Fourth Proportional to 473,728.83, 653,718.24 and 258,870.66

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Solution

The fourth proportional to 473,728.83, 653,718.24 and 258,870.66 is: 357,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,728.83 : 653,718.24 = 258,870.66 : x
  2. Step 2: Convert to fraction form
    473,728.83/653,718.24 = 258,870.66/x
  3. Step 3: Cross multiply
    473,728.83x = 653,718.24 × 258,870.66
  4. Step 4: Simplify right side
    473,728.83x = 169,228,472,242.84
  5. Step 5: Solve for x
    x = 169,228,472,242.84/473,728.83
  6. Step 6: Final answer
    x = 357,226.46

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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.