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Finding the Fourth Proportional to 314,335.79, 433,820.27 and 176,537.31

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Solution

The fourth proportional to 314,335.79, 433,820.27 and 176,537.31 is: 243,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,335.79 : 433,820.27 = 176,537.31 : x
  2. Step 2: Convert to fraction form
    314,335.79/433,820.27 = 176,537.31/x
  3. Step 3: Cross multiply
    314,335.79x = 433,820.27 × 176,537.31
  4. Step 4: Simplify right side
    314,335.79x = 76,585,462,303.79
  5. Step 5: Solve for x
    x = 76,585,462,303.79/314,335.79
  6. Step 6: Final answer
    x = 243,642.20

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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.