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Finding the Fourth Proportional to 429,820.34, 593,117.34 and 248,544

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Solution

The fourth proportional to 429,820.34, 593,117.34 and 248,544 is: 342,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,820.34 : 593,117.34 = 248,544 : x
  2. Step 2: Convert to fraction form
    429,820.34/593,117.34 = 248,544/x
  3. Step 3: Cross multiply
    429,820.34x = 593,117.34 × 248,544
  4. Step 4: Simplify right side
    429,820.34x = 147,415,756,152.96
  5. Step 5: Solve for x
    x = 147,415,756,152.96/429,820.34
  6. Step 6: Final answer
    x = 342,970.64

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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.