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Finding the Fourth Proportional to 463,706.96, 638,823.12 and 435,806.30

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Solution

The fourth proportional to 463,706.96, 638,823.12 and 435,806.30 is: 600,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,706.96 : 638,823.12 = 435,806.30 : x
  2. Step 2: Convert to fraction form
    463,706.96/638,823.12 = 435,806.30/x
  3. Step 3: Cross multiply
    463,706.96x = 638,823.12 × 435,806.30
  4. Step 4: Simplify right side
    463,706.96x = 278,403,140,281.66
  5. Step 5: Solve for x
    x = 278,403,140,281.66/463,706.96
  6. Step 6: Final answer
    x = 600,385.94

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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.