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Finding the Fourth Proportional to 473,665.56, 653,639.04 and 258,813

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Solution

The fourth proportional to 473,665.56, 653,639.04 and 258,813 is: 357,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,665.56 : 653,639.04 = 258,813 : x
  2. Step 2: Convert to fraction form
    473,665.56/653,639.04 = 258,813/x
  3. Step 3: Cross multiply
    473,665.56x = 653,639.04 × 258,813
  4. Step 4: Simplify right side
    473,665.56x = 169,170,280,859.52
  5. Step 5: Solve for x
    x = 169,170,280,859.52/473,665.56
  6. Step 6: Final answer
    x = 357,151.32

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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.