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Finding the Fourth Proportional to 474,301.36, 710,300.22 and 260,743.24

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Solution

The fourth proportional to 474,301.36, 710,300.22 and 260,743.24 is: 390,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,301.36 : 710,300.22 = 260,743.24 : x
  2. Step 2: Convert to fraction form
    474,301.36/710,300.22 = 260,743.24/x
  3. Step 3: Cross multiply
    474,301.36x = 710,300.22 × 260,743.24
  4. Step 4: Simplify right side
    474,301.36x = 185,205,980,735.51
  5. Step 5: Solve for x
    x = 185,205,980,735.51/474,301.36
  6. Step 6: Final answer
    x = 390,481.66

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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.