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Finding the Fourth Proportional to 473,729.53, 710,705.85 and 153,880.40

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Solution

The fourth proportional to 473,729.53, 710,705.85 and 153,880.40 is: 230,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,729.53 : 710,705.85 = 153,880.40 : x
  2. Step 2: Convert to fraction form
    473,729.53/710,705.85 = 153,880.40/x
  3. Step 3: Cross multiply
    473,729.53x = 710,705.85 × 153,880.40
  4. Step 4: Simplify right side
    473,729.53x = 109,363,700,480.34
  5. Step 5: Solve for x
    x = 109,363,700,480.34/473,729.53
  6. Step 6: Final answer
    x = 230,856.84

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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.