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Finding the Fourth Proportional to 473,669.40, 710,504.10 and 422,059.80

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Solution

The fourth proportional to 473,669.40, 710,504.10 and 422,059.80 is: 633,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,669.40 : 710,504.10 = 422,059.80 : x
  2. Step 2: Convert to fraction form
    473,669.40/710,504.10 = 422,059.80/x
  3. Step 3: Cross multiply
    473,669.40x = 710,504.10 × 422,059.80
  4. Step 4: Simplify right side
    473,669.40x = 299,875,218,345.18
  5. Step 5: Solve for x
    x = 299,875,218,345.18/473,669.40
  6. Step 6: Final answer
    x = 633,089.70

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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.