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Finding the Fourth Proportional to 649,304.86, 896,023.52 and 362,827.30

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Solution

The fourth proportional to 649,304.86, 896,023.52 and 362,827.30 is: 500,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,304.86 : 896,023.52 = 362,827.30 : x
  2. Step 2: Convert to fraction form
    649,304.86/896,023.52 = 362,827.30/x
  3. Step 3: Cross multiply
    649,304.86x = 896,023.52 × 362,827.30
  4. Step 4: Simplify right side
    649,304.86x = 325,101,792,683.96
  5. Step 5: Solve for x
    x = 325,101,792,683.96/649,304.86
  6. Step 6: Final answer
    x = 500,692.07

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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.