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Finding the Fourth Proportional to 369,095.74, 509,352.10 and 199,329.86

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Solution

The fourth proportional to 369,095.74, 509,352.10 and 199,329.86 is: 275,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,095.74 : 509,352.10 = 199,329.86 : x
  2. Step 2: Convert to fraction form
    369,095.74/509,352.10 = 199,329.86/x
  3. Step 3: Cross multiply
    369,095.74x = 509,352.10 × 199,329.86
  4. Step 4: Simplify right side
    369,095.74x = 101,529,082,783.71
  5. Step 5: Solve for x
    x = 101,529,082,783.71/369,095.74
  6. Step 6: Final answer
    x = 275,075.20

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1.5x scale

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.