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Finding the Fourth Proportional to 470,953.20, 706,426.56 and 155,435.52

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Solution

The fourth proportional to 470,953.20, 706,426.56 and 155,435.52 is: 233,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,953.20 : 706,426.56 = 155,435.52 : x
  2. Step 2: Convert to fraction form
    470,953.20/706,426.56 = 155,435.52/x
  3. Step 3: Cross multiply
    470,953.20x = 706,426.56 × 155,435.52
  4. Step 4: Simplify right side
    470,953.20x = 109,803,779,695.41
  5. Step 5: Solve for x
    x = 109,803,779,695.41/470,953.20
  6. Step 6: Final answer
    x = 233,152.21

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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.