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Finding the Fourth Proportional to 343,200.30, 514,800.45 and 106,566.90

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Solution

The fourth proportional to 343,200.30, 514,800.45 and 106,566.90 is: 159,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,200.30 : 514,800.45 = 106,566.90 : x
  2. Step 2: Convert to fraction form
    343,200.30/514,800.45 = 106,566.90/x
  3. Step 3: Cross multiply
    343,200.30x = 514,800.45 × 106,566.90
  4. Step 4: Simplify right side
    343,200.30x = 54,860,688,075.11
  5. Step 5: Solve for x
    x = 54,860,688,075.11/343,200.30
  6. Step 6: Final answer
    x = 159,850.35

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1.5x scale

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.