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Finding the Fourth Proportional to 314,577.60, 470,829.60 and 244,075.20

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Solution

The fourth proportional to 314,577.60, 470,829.60 and 244,075.20 is: 365,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,577.60 : 470,829.60 = 244,075.20 : x
  2. Step 2: Convert to fraction form
    314,577.60/470,829.60 = 244,075.20/x
  3. Step 3: Cross multiply
    314,577.60x = 470,829.60 × 244,075.20
  4. Step 4: Simplify right side
    314,577.60x = 114,917,828,785.92
  5. Step 5: Solve for x
    x = 114,917,828,785.92/314,577.60
  6. Step 6: Final answer
    x = 365,308.37

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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.