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Finding the Fourth Proportional to 413,064.23, 619,547.13 and 113,575.23

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Solution

The fourth proportional to 413,064.23, 619,547.13 and 113,575.23 is: 170,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,064.23 : 619,547.13 = 113,575.23 : x
  2. Step 2: Convert to fraction form
    413,064.23/619,547.13 = 113,575.23/x
  3. Step 3: Cross multiply
    413,064.23x = 619,547.13 × 113,575.23
  4. Step 4: Simplify right side
    413,064.23x = 70,365,207,785.59
  5. Step 5: Solve for x
    x = 70,365,207,785.59/413,064.23
  6. Step 6: Final answer
    x = 170,349.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.