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Finding the Fourth Proportional to 470,830.80, 706,246.20 and 432,123.60

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Solution

The fourth proportional to 470,830.80, 706,246.20 and 432,123.60 is: 648,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,830.80 : 706,246.20 = 432,123.60 : x
  2. Step 2: Convert to fraction form
    470,830.80/706,246.20 = 432,123.60/x
  3. Step 3: Cross multiply
    470,830.80x = 706,246.20 × 432,123.60
  4. Step 4: Simplify right side
    470,830.80x = 305,185,650,430.32
  5. Step 5: Solve for x
    x = 305,185,650,430.32/470,830.80
  6. Step 6: Final answer
    x = 648,185.40

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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.