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Finding the Fourth Proportional to 557,457.92, 769,306.24 and 302,823.68

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Solution

The fourth proportional to 557,457.92, 769,306.24 and 302,823.68 is: 417,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,457.92 : 769,306.24 = 302,823.68 : x
  2. Step 2: Convert to fraction form
    557,457.92/769,306.24 = 302,823.68/x
  3. Step 3: Cross multiply
    557,457.92x = 769,306.24 × 302,823.68
  4. Step 4: Simplify right side
    557,457.92x = 232,964,146,643.76
  5. Step 5: Solve for x
    x = 232,964,146,643.76/557,457.92
  6. Step 6: Final answer
    x = 417,904.45

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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.