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Finding the Fourth Proportional to 460,347.60, 688,577.40 and 413,302.80

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Solution

The fourth proportional to 460,347.60, 688,577.40 and 413,302.80 is: 618,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,347.60 : 688,577.40 = 413,302.80 : x
  2. Step 2: Convert to fraction form
    460,347.60/688,577.40 = 413,302.80/x
  3. Step 3: Cross multiply
    460,347.60x = 688,577.40 × 413,302.80
  4. Step 4: Simplify right side
    460,347.60x = 284,590,967,436.72
  5. Step 5: Solve for x
    x = 284,590,967,436.72/460,347.60
  6. Step 6: Final answer
    x = 618,208.87

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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.