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Finding the Fourth Proportional to 460,462.32, 690,792.30 and 260,878.32

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Solution

The fourth proportional to 460,462.32, 690,792.30 and 260,878.32 is: 391,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,462.32 : 690,792.30 = 260,878.32 : x
  2. Step 2: Convert to fraction form
    460,462.32/690,792.30 = 260,878.32/x
  3. Step 3: Cross multiply
    460,462.32x = 690,792.30 × 260,878.32
  4. Step 4: Simplify right side
    460,462.32x = 180,212,734,692.94
  5. Step 5: Solve for x
    x = 180,212,734,692.94/460,462.32
  6. Step 6: Final answer
    x = 391,373.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.