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Finding the Fourth Proportional to 686,094.50, 946,810.41 and 417,822.50

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Solution

The fourth proportional to 686,094.50, 946,810.41 and 417,822.50 is: 576,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,094.50 : 946,810.41 = 417,822.50 : x
  2. Step 2: Convert to fraction form
    686,094.50/946,810.41 = 417,822.50/x
  3. Step 3: Cross multiply
    686,094.50x = 946,810.41 × 417,822.50
  4. Step 4: Simplify right side
    686,094.50x = 395,598,692,532.23
  5. Step 5: Solve for x
    x = 395,598,692,532.23/686,094.50
  6. Step 6: Final answer
    x = 576,595.05

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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.