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Finding the Fourth Proportional to 343,271.40, 514,907.10 and 185,807.40

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Solution

The fourth proportional to 343,271.40, 514,907.10 and 185,807.40 is: 278,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,271.40 : 514,907.10 = 185,807.40 : x
  2. Step 2: Convert to fraction form
    343,271.40/514,907.10 = 185,807.40/x
  3. Step 3: Cross multiply
    343,271.40x = 514,907.10 × 185,807.40
  4. Step 4: Simplify right side
    343,271.40x = 95,673,549,492.54
  5. Step 5: Solve for x
    x = 95,673,549,492.54/343,271.40
  6. Step 6: Final answer
    x = 278,711.10

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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.