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Finding the Fourth Proportional to 707,012, 975,514.92 and 401,015.24

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Solution

The fourth proportional to 707,012, 975,514.92 and 401,015.24 is: 553,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,012 : 975,514.92 = 401,015.24 : x
  2. Step 2: Convert to fraction form
    707,012/975,514.92 = 401,015.24/x
  3. Step 3: Cross multiply
    707,012x = 975,514.92 × 401,015.24
  4. Step 4: Simplify right side
    707,012x = 391,196,349,767.38
  5. Step 5: Solve for x
    x = 391,196,349,767.38/707,012
  6. Step 6: Final answer
    x = 553,309.35

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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.