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Finding the Fourth Proportional to 473,648.51, 653,627.22 and 258,783.95

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Solution

The fourth proportional to 473,648.51, 653,627.22 and 258,783.95 is: 357,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,648.51 : 653,627.22 = 258,783.95 : x
  2. Step 2: Convert to fraction form
    473,648.51/653,627.22 = 258,783.95/x
  3. Step 3: Cross multiply
    473,648.51x = 653,627.22 × 258,783.95
  4. Step 4: Simplify right side
    473,648.51x = 169,148,233,819.12
  5. Step 5: Solve for x
    x = 169,148,233,819.12/473,648.51
  6. Step 6: Final answer
    x = 357,117.63

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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.