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Finding the Fourth Proportional to 224,698.60, 309,878.70 and 175,646.69

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Solution

The fourth proportional to 224,698.60, 309,878.70 and 175,646.69 is: 242,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,698.60 : 309,878.70 = 175,646.69 : x
  2. Step 2: Convert to fraction form
    224,698.60/309,878.70 = 175,646.69/x
  3. Step 3: Cross multiply
    224,698.60x = 309,878.70 × 175,646.69
  4. Step 4: Simplify right side
    224,698.60x = 54,429,169,312.22
  5. Step 5: Solve for x
    x = 54,429,169,312.22/224,698.60
  6. Step 6: Final answer
    x = 242,231.91

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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.