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Finding the Fourth Proportional to 498,070.24, 687,333.74 and 283,210.25

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Solution

The fourth proportional to 498,070.24, 687,333.74 and 283,210.25 is: 390,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,070.24 : 687,333.74 = 283,210.25 : x
  2. Step 2: Convert to fraction form
    498,070.24/687,333.74 = 283,210.25/x
  3. Step 3: Cross multiply
    498,070.24x = 687,333.74 × 283,210.25
  4. Step 4: Simplify right side
    498,070.24x = 194,659,955,486.12
  5. Step 5: Solve for x
    x = 194,659,955,486.12/498,070.24
  6. Step 6: Final answer
    x = 390,828.32

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