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Finding the Fourth Proportional to 473,904.30, 709,474.05 and 460,080.30

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Solution

The fourth proportional to 473,904.30, 709,474.05 and 460,080.30 is: 688,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,904.30 : 709,474.05 = 460,080.30 : x
  2. Step 2: Convert to fraction form
    473,904.30/709,474.05 = 460,080.30/x
  3. Step 3: Cross multiply
    473,904.30x = 709,474.05 × 460,080.30
  4. Step 4: Simplify right side
    473,904.30x = 326,415,033,766.22
  5. Step 5: Solve for x
    x = 326,415,033,766.22/473,904.30
  6. Step 6: Final answer
    x = 688,778.38

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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.