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Finding the Fourth Proportional to 514,354.65, 709,820.85 and 293,587.48

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Solution

The fourth proportional to 514,354.65, 709,820.85 and 293,587.48 is: 405,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,354.65 : 709,820.85 = 293,587.48 : x
  2. Step 2: Convert to fraction form
    514,354.65/709,820.85 = 293,587.48/x
  3. Step 3: Cross multiply
    514,354.65x = 709,820.85 × 293,587.48
  4. Step 4: Simplify right side
    514,354.65x = 208,394,514,602.96
  5. Step 5: Solve for x
    x = 208,394,514,602.96/514,354.65
  6. Step 6: Final answer
    x = 405,157.25

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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.