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Finding the Fourth Proportional to 470,904.60, 706,356.90 and 434,962.20

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Solution

The fourth proportional to 470,904.60, 706,356.90 and 434,962.20 is: 652,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,904.60 : 706,356.90 = 434,962.20 : x
  2. Step 2: Convert to fraction form
    470,904.60/706,356.90 = 434,962.20/x
  3. Step 3: Cross multiply
    470,904.60x = 706,356.90 × 434,962.20
  4. Step 4: Simplify right side
    470,904.60x = 307,238,551,209.18
  5. Step 5: Solve for x
    x = 307,238,551,209.18/470,904.60
  6. Step 6: Final answer
    x = 652,443.30

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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.