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Finding the Fourth Proportional to 473,758.80, 653,783.16 and 258,897

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Solution

The fourth proportional to 473,758.80, 653,783.16 and 258,897 is: 357,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,758.80 : 653,783.16 = 258,897 : x
  2. Step 2: Convert to fraction form
    473,758.80/653,783.16 = 258,897/x
  3. Step 3: Cross multiply
    473,758.80x = 653,783.16 × 258,897
  4. Step 4: Simplify right side
    473,758.80x = 169,262,498,774.52
  5. Step 5: Solve for x
    x = 169,262,498,774.52/473,758.80
  6. Step 6: Final answer
    x = 357,275.68

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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.