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Finding the Fourth Proportional to 473,667.56, 653,641.80 and 258,815

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Solution

The fourth proportional to 473,667.56, 653,641.80 and 258,815 is: 357,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,667.56 : 653,641.80 = 258,815 : x
  2. Step 2: Convert to fraction form
    473,667.56/653,641.80 = 258,815/x
  3. Step 3: Cross multiply
    473,667.56x = 653,641.80 × 258,815
  4. Step 4: Simplify right side
    473,667.56x = 169,172,302,467
  5. Step 5: Solve for x
    x = 169,172,302,467/473,667.56
  6. Step 6: Final answer
    x = 357,154.08

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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.