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Finding the Fourth Proportional to 413,291.16, 619,345.24 and 235,430.69

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Solution

The fourth proportional to 413,291.16, 619,345.24 and 235,430.69 is: 352,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,291.16 : 619,345.24 = 235,430.69 : x
  2. Step 2: Convert to fraction form
    413,291.16/619,345.24 = 235,430.69/x
  3. Step 3: Cross multiply
    413,291.16x = 619,345.24 × 235,430.69
  4. Step 4: Simplify right side
    413,291.16x = 145,812,873,516.11
  5. Step 5: Solve for x
    x = 145,812,873,516.11/413,291.16
  6. Step 6: Final answer
    x = 352,809.08

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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.