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Finding the Fourth Proportional to 473,661.40, 710,492.10 and 422,051.80

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Solution

The fourth proportional to 473,661.40, 710,492.10 and 422,051.80 is: 633,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,661.40 : 710,492.10 = 422,051.80 : x
  2. Step 2: Convert to fraction form
    473,661.40/710,492.10 = 422,051.80/x
  3. Step 3: Cross multiply
    473,661.40x = 710,492.10 × 422,051.80
  4. Step 4: Simplify right side
    473,661.40x = 299,864,469,690.78
  5. Step 5: Solve for x
    x = 299,864,469,690.78/473,661.40
  6. Step 6: Final answer
    x = 633,077.70

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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.