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Finding the Fourth Proportional to 430,132, 593,582.16 and 241,716

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Solution

The fourth proportional to 430,132, 593,582.16 and 241,716 is: 333,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,132 : 593,582.16 = 241,716 : x
  2. Step 2: Convert to fraction form
    430,132/593,582.16 = 241,716/x
  3. Step 3: Cross multiply
    430,132x = 593,582.16 × 241,716
  4. Step 4: Simplify right side
    430,132x = 143,478,305,386.56
  5. Step 5: Solve for x
    x = 143,478,305,386.56/430,132
  6. Step 6: Final answer
    x = 333,568.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.