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Finding the Fourth Proportional to 473,568.78, 653,534.55 and 258,722.76

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Solution

The fourth proportional to 473,568.78, 653,534.55 and 258,722.76 is: 357,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,568.78 : 653,534.55 = 258,722.76 : x
  2. Step 2: Convert to fraction form
    473,568.78/653,534.55 = 258,722.76/x
  3. Step 3: Cross multiply
    473,568.78x = 653,534.55 × 258,722.76
  4. Step 4: Simplify right side
    473,568.78x = 169,084,262,531.36
  5. Step 5: Solve for x
    x = 169,084,262,531.36/473,568.78
  6. Step 6: Final answer
    x = 357,042.67

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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.