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Finding the Fourth Proportional to 560,461.42, 772,533.03 and 379,107.10

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Solution

The fourth proportional to 560,461.42, 772,533.03 and 379,107.10 is: 522,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,461.42 : 772,533.03 = 379,107.10 : x
  2. Step 2: Convert to fraction form
    560,461.42/772,533.03 = 379,107.10/x
  3. Step 3: Cross multiply
    560,461.42x = 772,533.03 × 379,107.10
  4. Step 4: Simplify right side
    560,461.42x = 292,872,756,657.51
  5. Step 5: Solve for x
    x = 292,872,756,657.51/560,461.42
  6. Step 6: Final answer
    x = 522,556.50

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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.