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Finding the Fourth Proportional to 415,595.84, 573,256.32 and 288,224.96

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Solution

The fourth proportional to 415,595.84, 573,256.32 and 288,224.96 is: 397,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,595.84 : 573,256.32 = 288,224.96 : x
  2. Step 2: Convert to fraction form
    415,595.84/573,256.32 = 288,224.96/x
  3. Step 3: Cross multiply
    415,595.84x = 573,256.32 × 288,224.96
  4. Step 4: Simplify right side
    415,595.84x = 165,226,779,901.75
  5. Step 5: Solve for x
    x = 165,226,779,901.75/415,595.84
  6. Step 6: Final answer
    x = 397,566.01

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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.