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Finding the Fourth Proportional to 355,075.32, 532,006.74 and 195,285

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Solution

The fourth proportional to 355,075.32, 532,006.74 and 195,285 is: 292,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,075.32 : 532,006.74 = 195,285 : x
  2. Step 2: Convert to fraction form
    355,075.32/532,006.74 = 195,285/x
  3. Step 3: Cross multiply
    355,075.32x = 532,006.74 × 195,285
  4. Step 4: Simplify right side
    355,075.32x = 103,892,936,220.90
  5. Step 5: Solve for x
    x = 103,892,936,220.90/355,075.32
  6. Step 6: Final answer
    x = 292,594.08

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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.