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Finding the Fourth Proportional to 699,788.64, 965,354.28 and 409,210.20

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Solution

The fourth proportional to 699,788.64, 965,354.28 and 409,210.20 is: 564,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,788.64 : 965,354.28 = 409,210.20 : x
  2. Step 2: Convert to fraction form
    699,788.64/965,354.28 = 409,210.20/x
  3. Step 3: Cross multiply
    699,788.64x = 965,354.28 × 409,210.20
  4. Step 4: Simplify right side
    699,788.64x = 395,032,817,989.66
  5. Step 5: Solve for x
    x = 395,032,817,989.66/699,788.64
  6. Step 6: Final answer
    x = 564,503.04

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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.