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Finding the Fourth Proportional to 475,356.80, 713,035.20 and 195,075.20

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Solution

The fourth proportional to 475,356.80, 713,035.20 and 195,075.20 is: 292,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,356.80 : 713,035.20 = 195,075.20 : x
  2. Step 2: Convert to fraction form
    475,356.80/713,035.20 = 195,075.20/x
  3. Step 3: Cross multiply
    475,356.80x = 713,035.20 × 195,075.20
  4. Step 4: Simplify right side
    475,356.80x = 139,095,484,247.04
  5. Step 5: Solve for x
    x = 139,095,484,247.04/475,356.80
  6. Step 6: Final answer
    x = 292,612.80

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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.