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Finding the Fourth Proportional to 507,694.16, 700,392.88 and 292,782.80

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Solution

The fourth proportional to 507,694.16, 700,392.88 and 292,782.80 is: 403,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,694.16 : 700,392.88 = 292,782.80 : x
  2. Step 2: Convert to fraction form
    507,694.16/700,392.88 = 292,782.80/x
  3. Step 3: Cross multiply
    507,694.16x = 700,392.88 × 292,782.80
  4. Step 4: Simplify right side
    507,694.16x = 205,062,988,506.46
  5. Step 5: Solve for x
    x = 205,062,988,506.46/507,694.16
  6. Step 6: Final answer
    x = 403,910.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.