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Finding the Fourth Proportional to 576,681.86, 865,207.86 and 277,184.16

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Solution

The fourth proportional to 576,681.86, 865,207.86 and 277,184.16 is: 415,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,681.86 : 865,207.86 = 277,184.16 : x
  2. Step 2: Convert to fraction form
    576,681.86/865,207.86 = 277,184.16/x
  3. Step 3: Cross multiply
    576,681.86x = 865,207.86 × 277,184.16
  4. Step 4: Simplify right side
    576,681.86x = 239,821,913,899.50
  5. Step 5: Solve for x
    x = 239,821,913,899.50/576,681.86
  6. Step 6: Final answer
    x = 415,865.19

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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.