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Finding the Fourth Proportional to 498,436.84, 687,829.62 and 458,312.68

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Solution

The fourth proportional to 498,436.84, 687,829.62 and 458,312.68 is: 632,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,436.84 : 687,829.62 = 458,312.68 : x
  2. Step 2: Convert to fraction form
    498,436.84/687,829.62 = 458,312.68/x
  3. Step 3: Cross multiply
    498,436.84x = 687,829.62 × 458,312.68
  4. Step 4: Simplify right side
    498,436.84x = 315,241,036,525.58
  5. Step 5: Solve for x
    x = 315,241,036,525.58/498,436.84
  6. Step 6: Final answer
    x = 632,459.34

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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.