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Finding the Fourth Proportional to 473,946.02, 710,290.25 and 207,416.33

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Solution

The fourth proportional to 473,946.02, 710,290.25 and 207,416.33 is: 310,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,946.02 : 710,290.25 = 207,416.33 : x
  2. Step 2: Convert to fraction form
    473,946.02/710,290.25 = 207,416.33/x
  3. Step 3: Cross multiply
    473,946.02x = 710,290.25 × 207,416.33
  4. Step 4: Simplify right side
    473,946.02x = 147,325,796,889.78
  5. Step 5: Solve for x
    x = 147,325,796,889.78/473,946.02
  6. Step 6: Final answer
    x = 310,849.32

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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.