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Finding the Fourth Proportional to 553,341.40, 830,012.10 and 454,926.40

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Solution

The fourth proportional to 553,341.40, 830,012.10 and 454,926.40 is: 682,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,341.40 : 830,012.10 = 454,926.40 : x
  2. Step 2: Convert to fraction form
    553,341.40/830,012.10 = 454,926.40/x
  3. Step 3: Cross multiply
    553,341.40x = 830,012.10 × 454,926.40
  4. Step 4: Simplify right side
    553,341.40x = 377,594,416,609.44
  5. Step 5: Solve for x
    x = 377,594,416,609.44/553,341.40
  6. Step 6: Final answer
    x = 682,389.60

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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.