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Finding the Fourth Proportional to 470,759.60, 706,139.40 and 155,140.40

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Solution

The fourth proportional to 470,759.60, 706,139.40 and 155,140.40 is: 232,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,759.60 : 706,139.40 = 155,140.40 : x
  2. Step 2: Convert to fraction form
    470,759.60/706,139.40 = 155,140.40/x
  3. Step 3: Cross multiply
    470,759.60x = 706,139.40 × 155,140.40
  4. Step 4: Simplify right side
    470,759.60x = 109,550,748,971.76
  5. Step 5: Solve for x
    x = 109,550,748,971.76/470,759.60
  6. Step 6: Final answer
    x = 232,710.60

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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.