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Finding the Fourth Proportional to 296,740.53, 409,501.98 and 160,775.37

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Solution

The fourth proportional to 296,740.53, 409,501.98 and 160,775.37 is: 221,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,740.53 : 409,501.98 = 160,775.37 : x
  2. Step 2: Convert to fraction form
    296,740.53/409,501.98 = 160,775.37/x
  3. Step 3: Cross multiply
    296,740.53x = 409,501.98 × 160,775.37
  4. Step 4: Simplify right side
    296,740.53x = 65,837,832,350.23
  5. Step 5: Solve for x
    x = 65,837,832,350.23/296,740.53
  6. Step 6: Final answer
    x = 221,870.04

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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.