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Finding the Fourth Proportional to 457,457.64, 630,503.38 and 304,221.96

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Solution

The fourth proportional to 457,457.64, 630,503.38 and 304,221.96 is: 419,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,457.64 : 630,503.38 = 304,221.96 : x
  2. Step 2: Convert to fraction form
    457,457.64/630,503.38 = 304,221.96/x
  3. Step 3: Cross multiply
    457,457.64x = 630,503.38 × 304,221.96
  4. Step 4: Simplify right side
    457,457.64x = 191,812,974,050.23
  5. Step 5: Solve for x
    x = 191,812,974,050.23/457,457.64
  6. Step 6: Final answer
    x = 419,302.15

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Why These Related Problems?

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