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Finding the Fourth Proportional to 364,054.77, 546,031.13 and 153,643.50

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Solution

The fourth proportional to 364,054.77, 546,031.13 and 153,643.50 is: 230,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,054.77 : 546,031.13 = 153,643.50 : x
  2. Step 2: Convert to fraction form
    364,054.77/546,031.13 = 153,643.50/x
  3. Step 3: Cross multiply
    364,054.77x = 546,031.13 × 153,643.50
  4. Step 4: Simplify right side
    364,054.77x = 83,894,133,153.94
  5. Step 5: Solve for x
    x = 83,894,133,153.94/364,054.77
  6. Step 6: Final answer
    x = 230,443.71

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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.