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Finding the Fourth Proportional to 382,030.90, 573,046.35 and 293,457.40

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Solution

The fourth proportional to 382,030.90, 573,046.35 and 293,457.40 is: 440,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030.90 : 573,046.35 = 293,457.40 : x
  2. Step 2: Convert to fraction form
    382,030.90/573,046.35 = 293,457.40/x
  3. Step 3: Cross multiply
    382,030.90x = 573,046.35 × 293,457.40
  4. Step 4: Simplify right side
    382,030.90x = 168,164,691,950.49
  5. Step 5: Solve for x
    x = 168,164,691,950.49/382,030.90
  6. Step 6: Final answer
    x = 440,186.10

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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.