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Finding the Fourth Proportional to 616,268.80, 924,403.20 and 284,492.80

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Solution

The fourth proportional to 616,268.80, 924,403.20 and 284,492.80 is: 426,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,268.80 : 924,403.20 = 284,492.80 : x
  2. Step 2: Convert to fraction form
    616,268.80/924,403.20 = 284,492.80/x
  3. Step 3: Cross multiply
    616,268.80x = 924,403.20 × 284,492.80
  4. Step 4: Simplify right side
    616,268.80x = 262,986,054,696.96
  5. Step 5: Solve for x
    x = 262,986,054,696.96/616,268.80
  6. Step 6: Final answer
    x = 426,739.20

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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.