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Finding the Fourth Proportional to 473,665.40, 710,498.10 and 422,055.80

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Solution

The fourth proportional to 473,665.40, 710,498.10 and 422,055.80 is: 633,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,665.40 : 710,498.10 = 422,055.80 : x
  2. Step 2: Convert to fraction form
    473,665.40/710,498.10 = 422,055.80/x
  3. Step 3: Cross multiply
    473,665.40x = 710,498.10 × 422,055.80
  4. Step 4: Simplify right side
    473,665.40x = 299,869,843,993.98
  5. Step 5: Solve for x
    x = 299,869,843,993.98/473,665.40
  6. Step 6: Final answer
    x = 633,083.70

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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.