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Finding the Fourth Proportional to 412,329.30, 617,965.41 and 358,798.83

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Solution

The fourth proportional to 412,329.30, 617,965.41 and 358,798.83 is: 537,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,329.30 : 617,965.41 = 358,798.83 : x
  2. Step 2: Convert to fraction form
    412,329.30/617,965.41 = 358,798.83/x
  3. Step 3: Cross multiply
    412,329.30x = 617,965.41 × 358,798.83
  4. Step 4: Simplify right side
    412,329.30x = 221,725,266,088.47
  5. Step 5: Solve for x
    x = 221,725,266,088.47/412,329.30
  6. Step 6: Final answer
    x = 537,738.32

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1.5x scale

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.