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Finding the Fourth Proportional to 470,977.86, 706,491.24 and 155,459.40

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Solution

The fourth proportional to 470,977.86, 706,491.24 and 155,459.40 is: 233,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,977.86 : 706,491.24 = 155,459.40 : x
  2. Step 2: Convert to fraction form
    470,977.86/706,491.24 = 155,459.40/x
  3. Step 3: Cross multiply
    470,977.86x = 706,491.24 × 155,459.40
  4. Step 4: Simplify right side
    470,977.86x = 109,830,704,275.66
  5. Step 5: Solve for x
    x = 109,830,704,275.66/470,977.86
  6. Step 6: Final answer
    x = 233,197.17

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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.