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Finding the Fourth Proportional to 296,570.34, 409,296.51 and 169,265.16

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Solution

The fourth proportional to 296,570.34, 409,296.51 and 169,265.16 is: 233,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,570.34 : 409,296.51 = 169,265.16 : x
  2. Step 2: Convert to fraction form
    296,570.34/409,296.51 = 169,265.16/x
  3. Step 3: Cross multiply
    296,570.34x = 409,296.51 × 169,265.16
  4. Step 4: Simplify right side
    296,570.34x = 69,279,639,252.59
  5. Step 5: Solve for x
    x = 69,279,639,252.59/296,570.34
  6. Step 6: Final answer
    x = 233,602.72

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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.