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Finding the Fourth Proportional to 473,821.80, 653,864.36 and 258,963.39

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Solution

The fourth proportional to 473,821.80, 653,864.36 and 258,963.39 is: 357,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,821.80 : 653,864.36 = 258,963.39 : x
  2. Step 2: Convert to fraction form
    473,821.80/653,864.36 = 258,963.39/x
  3. Step 3: Cross multiply
    473,821.80x = 653,864.36 × 258,963.39
  4. Step 4: Simplify right side
    473,821.80x = 169,326,929,970.96
  5. Step 5: Solve for x
    x = 169,326,929,970.96/473,821.80
  6. Step 6: Final answer
    x = 357,364.16

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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.