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Finding the Fourth Proportional to 364,278, 546,367.76 and 98,054.48

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Solution

The fourth proportional to 364,278, 546,367.76 and 98,054.48 is: 147,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,278 : 546,367.76 = 98,054.48 : x
  2. Step 2: Convert to fraction form
    364,278/546,367.76 = 98,054.48/x
  3. Step 3: Cross multiply
    364,278x = 546,367.76 × 98,054.48
  4. Step 4: Simplify right side
    364,278x = 53,573,806,595.56
  5. Step 5: Solve for x
    x = 53,573,806,595.56/364,278
  6. Step 6: Final answer
    x = 147,068.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.