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Finding the Fourth Proportional to 575,296.40, 862,944.60 and 470,320.40

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Solution

The fourth proportional to 575,296.40, 862,944.60 and 470,320.40 is: 705,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,296.40 : 862,944.60 = 470,320.40 : x
  2. Step 2: Convert to fraction form
    575,296.40/862,944.60 = 470,320.40/x
  3. Step 3: Cross multiply
    575,296.40x = 862,944.60 × 470,320.40
  4. Step 4: Simplify right side
    575,296.40x = 405,860,449,449.84
  5. Step 5: Solve for x
    x = 405,860,449,449.84/575,296.40
  6. Step 6: Final answer
    x = 705,480.60

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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.