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Finding the Fourth Proportional to 540,907.55, 746,402.32 and 299,184.92

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Solution

The fourth proportional to 540,907.55, 746,402.32 and 299,184.92 is: 412,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,907.55 : 746,402.32 = 299,184.92 : x
  2. Step 2: Convert to fraction form
    540,907.55/746,402.32 = 299,184.92/x
  3. Step 3: Cross multiply
    540,907.55x = 746,402.32 × 299,184.92
  4. Step 4: Simplify right side
    540,907.55x = 223,312,318,397.01
  5. Step 5: Solve for x
    x = 223,312,318,397.01/540,907.55
  6. Step 6: Final answer
    x = 412,847.48

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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.