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Finding the Fourth Proportional to 314,011.58, 433,326.71 and 178,057.94

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Solution

The fourth proportional to 314,011.58, 433,326.71 and 178,057.94 is: 245,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,011.58 : 433,326.71 = 178,057.94 : x
  2. Step 2: Convert to fraction form
    314,011.58/433,326.71 = 178,057.94/x
  3. Step 3: Cross multiply
    314,011.58x = 433,326.71 × 178,057.94
  4. Step 4: Simplify right side
    314,011.58x = 77,157,258,272.65
  5. Step 5: Solve for x
    x = 77,157,258,272.65/314,011.58
  6. Step 6: Final answer
    x = 245,714.69

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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.