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Finding the Fourth Proportional to 473,499.16, 710,353.68 and 136,513.51

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Solution

The fourth proportional to 473,499.16, 710,353.68 and 136,513.51 is: 204,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,499.16 : 710,353.68 = 136,513.51 : x
  2. Step 2: Convert to fraction form
    473,499.16/710,353.68 = 136,513.51/x
  3. Step 3: Cross multiply
    473,499.16x = 710,353.68 × 136,513.51
  4. Step 4: Simplify right side
    473,499.16x = 96,972,872,889.81
  5. Step 5: Solve for x
    x = 96,972,872,889.81/473,499.16
  6. Step 6: Final answer
    x = 204,800.52

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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.