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Finding the Fourth Proportional to 532,193.84, 734,421.48 and 290,474.54

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Solution

The fourth proportional to 532,193.84, 734,421.48 and 290,474.54 is: 400,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,193.84 : 734,421.48 = 290,474.54 : x
  2. Step 2: Convert to fraction form
    532,193.84/734,421.48 = 290,474.54/x
  3. Step 3: Cross multiply
    532,193.84x = 734,421.48 × 290,474.54
  4. Step 4: Simplify right side
    532,193.84x = 213,330,741,569.12
  5. Step 5: Solve for x
    x = 213,330,741,569.12/532,193.84
  6. Step 6: Final answer
    x = 400,851.58

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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.