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Finding the Fourth Proportional to 650,741.40, 974,211.30 and 464,117.40

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Solution

The fourth proportional to 650,741.40, 974,211.30 and 464,117.40 is: 694,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,741.40 : 974,211.30 = 464,117.40 : x
  2. Step 2: Convert to fraction form
    650,741.40/974,211.30 = 464,117.40/x
  3. Step 3: Cross multiply
    650,741.40x = 974,211.30 × 464,117.40
  4. Step 4: Simplify right side
    650,741.40x = 452,148,415,606.62
  5. Step 5: Solve for x
    x = 452,148,415,606.62/650,741.40
  6. Step 6: Final answer
    x = 694,820.42

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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.