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Finding the Fourth Proportional to 702,533.34, 1,052,951.34 and 342,164.07

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Solution

The fourth proportional to 702,533.34, 1,052,951.34 and 342,164.07 is: 512,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,533.34 : 1,052,951.34 = 342,164.07 : x
  2. Step 2: Convert to fraction form
    702,533.34/1,052,951.34 = 342,164.07/x
  3. Step 3: Cross multiply
    702,533.34x = 1,052,951.34 × 342,164.07
  4. Step 4: Simplify right side
    702,533.34x = 360,282,116,006.35
  5. Step 5: Solve for x
    x = 360,282,116,006.35/702,533.34
  6. Step 6: Final answer
    x = 512,832.77

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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.