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Finding the Fourth Proportional to 288,075.60, 432,113.40 and 276,411.60

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Solution

The fourth proportional to 288,075.60, 432,113.40 and 276,411.60 is: 414,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,075.60 : 432,113.40 = 276,411.60 : x
  2. Step 2: Convert to fraction form
    288,075.60/432,113.40 = 276,411.60/x
  3. Step 3: Cross multiply
    288,075.60x = 432,113.40 × 276,411.60
  4. Step 4: Simplify right side
    288,075.60x = 119,441,156,275.44
  5. Step 5: Solve for x
    x = 119,441,156,275.44/288,075.60
  6. Step 6: Final answer
    x = 414,617.40

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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.