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Finding the Fourth Proportional to 413,036.66, 619,403.62 and 143,095.08

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Solution

The fourth proportional to 413,036.66, 619,403.62 and 143,095.08 is: 214,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,036.66 : 619,403.62 = 143,095.08 : x
  2. Step 2: Convert to fraction form
    413,036.66/619,403.62 = 143,095.08/x
  3. Step 3: Cross multiply
    413,036.66x = 619,403.62 × 143,095.08
  4. Step 4: Simplify right side
    413,036.66x = 88,633,609,840.71
  5. Step 5: Solve for x
    x = 88,633,609,840.71/413,036.66
  6. Step 6: Final answer
    x = 214,590.18

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Why These Related Problems?

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