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Finding the Fourth Proportional to 307,130.40, 460,695.60 and 295,320.60

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Solution

The fourth proportional to 307,130.40, 460,695.60 and 295,320.60 is: 442,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,130.40 : 460,695.60 = 295,320.60 : x
  2. Step 2: Convert to fraction form
    307,130.40/460,695.60 = 295,320.60/x
  3. Step 3: Cross multiply
    307,130.40x = 460,695.60 × 295,320.60
  4. Step 4: Simplify right side
    307,130.40x = 136,052,901,009.36
  5. Step 5: Solve for x
    x = 136,052,901,009.36/307,130.40
  6. Step 6: Final answer
    x = 442,980.90

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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.