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Finding the Fourth Proportional to 853,987, 1,178,502.06 and 514,525.72

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Solution

The fourth proportional to 853,987, 1,178,502.06 and 514,525.72 is: 710,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,987 : 1,178,502.06 = 514,525.72 : x
  2. Step 2: Convert to fraction form
    853,987/1,178,502.06 = 514,525.72/x
  3. Step 3: Cross multiply
    853,987x = 1,178,502.06 × 514,525.72
  4. Step 4: Simplify right side
    853,987x = 606,369,620,942.98
  5. Step 5: Solve for x
    x = 606,369,620,942.98/853,987
  6. Step 6: Final answer
    x = 710,045.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.