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Finding the Fourth Proportional to 473,812.56, 653,861.40 and 258,952.56

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Solution

The fourth proportional to 473,812.56, 653,861.40 and 258,952.56 is: 357,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,812.56 : 653,861.40 = 258,952.56 : x
  2. Step 2: Convert to fraction form
    473,812.56/653,861.40 = 258,952.56/x
  3. Step 3: Cross multiply
    473,812.56x = 653,861.40 × 258,952.56
  4. Step 4: Simplify right side
    473,812.56x = 169,319,083,415.18
  5. Step 5: Solve for x
    x = 169,319,083,415.18/473,812.56
  6. Step 6: Final answer
    x = 357,354.57

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1.5x scale

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.