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Finding the Fourth Proportional to 506,825.69, 760,613.06 and 408,176.51

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Solution

The fourth proportional to 506,825.69, 760,613.06 and 408,176.51 is: 612,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,825.69 : 760,613.06 = 408,176.51 : x
  2. Step 2: Convert to fraction form
    506,825.69/760,613.06 = 408,176.51/x
  3. Step 3: Cross multiply
    506,825.69x = 760,613.06 × 408,176.51
  4. Step 4: Simplify right side
    506,825.69x = 310,464,381,508.60
  5. Step 5: Solve for x
    x = 310,464,381,508.60/506,825.69
  6. Step 6: Final answer
    x = 612,566.39

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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.