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Finding the Fourth Proportional to 708,353.12, 977,498.85 and 386,056.30

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Solution

The fourth proportional to 708,353.12, 977,498.85 and 386,056.30 is: 532,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,353.12 : 977,498.85 = 386,056.30 : x
  2. Step 2: Convert to fraction form
    708,353.12/977,498.85 = 386,056.30/x
  3. Step 3: Cross multiply
    708,353.12x = 977,498.85 × 386,056.30
  4. Step 4: Simplify right side
    708,353.12x = 377,369,585,393.80
  5. Step 5: Solve for x
    x = 377,369,585,393.80/708,353.12
  6. Step 6: Final answer
    x = 532,742.18

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Double scale
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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.