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Finding the Fourth Proportional to 470,877.39, 706,300.29 and 204,637.86

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Solution

The fourth proportional to 470,877.39, 706,300.29 and 204,637.86 is: 306,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,877.39 : 706,300.29 = 204,637.86 : x
  2. Step 2: Convert to fraction form
    470,877.39/706,300.29 = 204,637.86/x
  3. Step 3: Cross multiply
    470,877.39x = 706,300.29 × 204,637.86
  4. Step 4: Simplify right side
    470,877.39x = 144,535,779,862.98
  5. Step 5: Solve for x
    x = 144,535,779,862.98/470,877.39
  6. Step 6: Final answer
    x = 306,949.93

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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.