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Finding the Fourth Proportional to 413,050.24, 619,578.24 and 188,364.16

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Solution

The fourth proportional to 413,050.24, 619,578.24 and 188,364.16 is: 282,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,050.24 : 619,578.24 = 188,364.16 : x
  2. Step 2: Convert to fraction form
    413,050.24/619,578.24 = 188,364.16/x
  3. Step 3: Cross multiply
    413,050.24x = 619,578.24 × 188,364.16
  4. Step 4: Simplify right side
    413,050.24x = 116,706,334,731.88
  5. Step 5: Solve for x
    x = 116,706,334,731.88/413,050.24
  6. Step 6: Final answer
    x = 282,547.55

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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.