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Finding the Fourth Proportional to 261,025.40, 390,954.90 and 214,369.40

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Solution

The fourth proportional to 261,025.40, 390,954.90 and 214,369.40 is: 321,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,025.40 : 390,954.90 = 214,369.40 : x
  2. Step 2: Convert to fraction form
    261,025.40/390,954.90 = 214,369.40/x
  3. Step 3: Cross multiply
    261,025.40x = 390,954.90 × 214,369.40
  4. Step 4: Simplify right side
    261,025.40x = 83,808,767,340.06
  5. Step 5: Solve for x
    x = 83,808,767,340.06/261,025.40
  6. Step 6: Final answer
    x = 321,075.14

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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.