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Finding the Fourth Proportional to 307,866.40, 461,842.80 and 97,482.40

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Solution

The fourth proportional to 307,866.40, 461,842.80 and 97,482.40 is: 146,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.40 : 461,842.80 = 97,482.40 : x
  2. Step 2: Convert to fraction form
    307,866.40/461,842.80 = 97,482.40/x
  3. Step 3: Cross multiply
    307,866.40x = 461,842.80 × 97,482.40
  4. Step 4: Simplify right side
    307,866.40x = 45,021,544,566.72
  5. Step 5: Solve for x
    x = 45,021,544,566.72/307,866.40
  6. Step 6: Final answer
    x = 146,237.28

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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.