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Finding the Fourth Proportional to 442,713.84, 610,868.82 and 249,094.68

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Solution

The fourth proportional to 442,713.84, 610,868.82 and 249,094.68 is: 343,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,713.84 : 610,868.82 = 249,094.68 : x
  2. Step 2: Convert to fraction form
    442,713.84/610,868.82 = 249,094.68/x
  3. Step 3: Cross multiply
    442,713.84x = 610,868.82 × 249,094.68
  4. Step 4: Simplify right side
    442,713.84x = 152,164,173,239.88
  5. Step 5: Solve for x
    x = 152,164,173,239.88/442,713.84
  6. Step 6: Final answer
    x = 343,707.74

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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.