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Finding the Fourth Proportional to 458,031.84, 632,090.16 and 343,106.88

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Solution

The fourth proportional to 458,031.84, 632,090.16 and 343,106.88 is: 473,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,031.84 : 632,090.16 = 343,106.88 : x
  2. Step 2: Convert to fraction form
    458,031.84/632,090.16 = 343,106.88/x
  3. Step 3: Cross multiply
    458,031.84x = 632,090.16 × 343,106.88
  4. Step 4: Simplify right side
    458,031.84x = 216,874,482,676.30
  5. Step 5: Solve for x
    x = 216,874,482,676.30/458,031.84
  6. Step 6: Final answer
    x = 473,492.15

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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.