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Finding the Fourth Proportional to 554,476.34, 765,178.14 and 299,827.52

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Solution

The fourth proportional to 554,476.34, 765,178.14 and 299,827.52 is: 413,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,476.34 : 765,178.14 = 299,827.52 : x
  2. Step 2: Convert to fraction form
    554,476.34/765,178.14 = 299,827.52/x
  3. Step 3: Cross multiply
    554,476.34x = 765,178.14 × 299,827.52
  4. Step 4: Simplify right side
    554,476.34x = 229,421,464,074.41
  5. Step 5: Solve for x
    x = 229,421,464,074.41/554,476.34
  6. Step 6: Final answer
    x = 413,762.41

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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.