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Finding the Fourth Proportional to 562,459.10, 776,193.05 and 317,495.43

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Solution

The fourth proportional to 562,459.10, 776,193.05 and 317,495.43 is: 438,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,459.10 : 776,193.05 = 317,495.43 : x
  2. Step 2: Convert to fraction form
    562,459.10/776,193.05 = 317,495.43/x
  3. Step 3: Cross multiply
    562,459.10x = 776,193.05 × 317,495.43
  4. Step 4: Simplify right side
    562,459.10x = 246,437,746,966.50
  5. Step 5: Solve for x
    x = 246,437,746,966.50/562,459.10
  6. Step 6: Final answer
    x = 438,143.41

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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.