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Finding the Fourth Proportional to 473,641.95, 653,618.26 and 258,777.40

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Solution

The fourth proportional to 473,641.95, 653,618.26 and 258,777.40 is: 357,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,641.95 : 653,618.26 = 258,777.40 : x
  2. Step 2: Convert to fraction form
    473,641.95/653,618.26 = 258,777.40/x
  3. Step 3: Cross multiply
    473,641.95x = 653,618.26 × 258,777.40
  4. Step 4: Simplify right side
    473,641.95x = 169,141,633,830.28
  5. Step 5: Solve for x
    x = 169,141,633,830.28/473,641.95
  6. Step 6: Final answer
    x = 357,108.64

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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.