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Finding the Fourth Proportional to 470,488.80, 706,035.60 and 260,277.60

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Solution

The fourth proportional to 470,488.80, 706,035.60 and 260,277.60 is: 390,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,488.80 : 706,035.60 = 260,277.60 : x
  2. Step 2: Convert to fraction form
    470,488.80/706,035.60 = 260,277.60/x
  3. Step 3: Cross multiply
    470,488.80x = 706,035.60 × 260,277.60
  4. Step 4: Simplify right side
    470,488.80x = 183,765,251,482.56
  5. Step 5: Solve for x
    x = 183,765,251,482.56/470,488.80
  6. Step 6: Final answer
    x = 390,583.69

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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.