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Finding the Fourth Proportional to 473,948.80, 710,001.60 and 263,209.60

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Solution

The fourth proportional to 473,948.80, 710,001.60 and 263,209.60 is: 394,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,948.80 : 710,001.60 = 263,209.60 : x
  2. Step 2: Convert to fraction form
    473,948.80/710,001.60 = 263,209.60/x
  3. Step 3: Cross multiply
    473,948.80x = 710,001.60 × 263,209.60
  4. Step 4: Simplify right side
    473,948.80x = 186,879,237,135.36
  5. Step 5: Solve for x
    x = 186,879,237,135.36/473,948.80
  6. Step 6: Final answer
    x = 394,302.59

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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.