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Finding the Fourth Proportional to 474,547.35, 654,854.34 and 259,696.47

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Solution

The fourth proportional to 474,547.35, 654,854.34 and 259,696.47 is: 358,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,547.35 : 654,854.34 = 259,696.47 : x
  2. Step 2: Convert to fraction form
    474,547.35/654,854.34 = 259,696.47/x
  3. Step 3: Cross multiply
    474,547.35x = 654,854.34 × 259,696.47
  4. Step 4: Simplify right side
    474,547.35x = 170,063,360,462.18
  5. Step 5: Solve for x
    x = 170,063,360,462.18/474,547.35
  6. Step 6: Final answer
    x = 358,369.63

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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.