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Finding the Fourth Proportional to 474,300.36, 710,298.72 and 260,742.24

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Solution

The fourth proportional to 474,300.36, 710,298.72 and 260,742.24 is: 390,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,300.36 : 710,298.72 = 260,742.24 : x
  2. Step 2: Convert to fraction form
    474,300.36/710,298.72 = 260,742.24/x
  3. Step 3: Cross multiply
    474,300.36x = 710,298.72 × 260,742.24
  4. Step 4: Simplify right side
    474,300.36x = 185,204,879,321.93
  5. Step 5: Solve for x
    x = 185,204,879,321.93/474,300.36
  6. Step 6: Final answer
    x = 390,480.16

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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.