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Finding the Fourth Proportional to 473,761.48, 653,580.84 and 282,663.76

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Solution

The fourth proportional to 473,761.48, 653,580.84 and 282,663.76 is: 389,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,761.48 : 653,580.84 = 282,663.76 : x
  2. Step 2: Convert to fraction form
    473,761.48/653,580.84 = 282,663.76/x
  3. Step 3: Cross multiply
    473,761.48x = 653,580.84 × 282,663.76
  4. Step 4: Simplify right side
    473,761.48x = 184,743,617,698.36
  5. Step 5: Solve for x
    x = 184,743,617,698.36/473,761.48
  6. Step 6: Final answer
    x = 389,950.69

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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.