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Finding the Fourth Proportional to 314,265.32, 433,695.93 and 178,305

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Solution

The fourth proportional to 314,265.32, 433,695.93 and 178,305 is: 246,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,265.32 : 433,695.93 = 178,305 : x
  2. Step 2: Convert to fraction form
    314,265.32/433,695.93 = 178,305/x
  3. Step 3: Cross multiply
    314,265.32x = 433,695.93 × 178,305
  4. Step 4: Simplify right side
    314,265.32x = 77,330,152,798.65
  5. Step 5: Solve for x
    x = 77,330,152,798.65/314,265.32
  6. Step 6: Final answer
    x = 246,066.45

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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.