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Finding the Fourth Proportional to 410,401.48, 565,907.62 and 266,895.40

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Solution

The fourth proportional to 410,401.48, 565,907.62 and 266,895.40 is: 368,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,401.48 : 565,907.62 = 266,895.40 : x
  2. Step 2: Convert to fraction form
    410,401.48/565,907.62 = 266,895.40/x
  3. Step 3: Cross multiply
    410,401.48x = 565,907.62 × 266,895.40
  4. Step 4: Simplify right side
    410,401.48x = 151,038,140,602.95
  5. Step 5: Solve for x
    x = 151,038,140,602.95/410,401.48
  6. Step 6: Final answer
    x = 368,025.33

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1.5x scale

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.