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Finding the Fourth Proportional to 532,085.57, 734,301.97 and 299,592.51

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Solution

The fourth proportional to 532,085.57, 734,301.97 and 299,592.51 is: 413,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,085.57 : 734,301.97 = 299,592.51 : x
  2. Step 2: Convert to fraction form
    532,085.57/734,301.97 = 299,592.51/x
  3. Step 3: Cross multiply
    532,085.57x = 734,301.97 × 299,592.51
  4. Step 4: Simplify right side
    532,085.57x = 219,991,370,290.25
  5. Step 5: Solve for x
    x = 219,991,370,290.25/532,085.57
  6. Step 6: Final answer
    x = 413,451.11

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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.