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Finding the Fourth Proportional to 473,506.08, 653,413.38 and 258,643.08

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Solution

The fourth proportional to 473,506.08, 653,413.38 and 258,643.08 is: 356,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,506.08 : 653,413.38 = 258,643.08 : x
  2. Step 2: Convert to fraction form
    473,506.08/653,413.38 = 258,643.08/x
  3. Step 3: Cross multiply
    473,506.08x = 653,413.38 × 258,643.08
  4. Step 4: Simplify right side
    473,506.08x = 169,000,849,116.41
  5. Step 5: Solve for x
    x = 169,000,849,116.41/473,506.08
  6. Step 6: Final answer
    x = 356,913.79

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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.