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Finding the Fourth Proportional to 556,001.65, 767,273.95 and 314,275.75

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Solution

The fourth proportional to 556,001.65, 767,273.95 and 314,275.75 is: 433,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,001.65 : 767,273.95 = 314,275.75 : x
  2. Step 2: Convert to fraction form
    556,001.65/767,273.95 = 314,275.75/x
  3. Step 3: Cross multiply
    556,001.65x = 767,273.95 × 314,275.75
  4. Step 4: Simplify right side
    556,001.65x = 241,135,594,566.37
  5. Step 5: Solve for x
    x = 241,135,594,566.37/556,001.65
  6. Step 6: Final answer
    x = 433,695.82

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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.