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Finding the Fourth Proportional to 473,511.16, 710,371.68 and 136,525.51

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Solution

The fourth proportional to 473,511.16, 710,371.68 and 136,525.51 is: 204,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,511.16 : 710,371.68 = 136,525.51 : x
  2. Step 2: Convert to fraction form
    473,511.16/710,371.68 = 136,525.51/x
  3. Step 3: Cross multiply
    473,511.16x = 710,371.68 × 136,525.51
  4. Step 4: Simplify right side
    473,511.16x = 96,983,855,901.56
  5. Step 5: Solve for x
    x = 96,983,855,901.56/473,511.16
  6. Step 6: Final answer
    x = 204,818.52

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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.