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Finding the Fourth Proportional to 423,411.52, 584,305.60 and 232,428.16

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Solution

The fourth proportional to 423,411.52, 584,305.60 and 232,428.16 is: 320,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,411.52 : 584,305.60 = 232,428.16 : x
  2. Step 2: Convert to fraction form
    423,411.52/584,305.60 = 232,428.16/x
  3. Step 3: Cross multiply
    423,411.52x = 584,305.60 × 232,428.16
  4. Step 4: Simplify right side
    423,411.52x = 135,809,075,485.70
  5. Step 5: Solve for x
    x = 135,809,075,485.70/423,411.52
  6. Step 6: Final answer
    x = 320,749.60

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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.