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Finding the Fourth Proportional to 423,484.51, 584,409.62 and 232,510.21

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Solution

The fourth proportional to 423,484.51, 584,409.62 and 232,510.21 is: 320,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,484.51 : 584,409.62 = 232,510.21 : x
  2. Step 2: Convert to fraction form
    423,484.51/584,409.62 = 232,510.21/x
  3. Step 3: Cross multiply
    423,484.51x = 584,409.62 × 232,510.21
  4. Step 4: Simplify right side
    423,484.51x = 135,881,203,472.22
  5. Step 5: Solve for x
    x = 135,881,203,472.22/423,484.51
  6. Step 6: Final answer
    x = 320,864.64

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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.