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Finding the Fourth Proportional to 423,381.83, 584,273.54 and 232,412.63

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Solution

The fourth proportional to 423,381.83, 584,273.54 and 232,412.63 is: 320,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,381.83 : 584,273.54 = 232,412.63 : x
  2. Step 2: Convert to fraction form
    423,381.83/584,273.54 = 232,412.63/x
  3. Step 3: Cross multiply
    423,381.83x = 584,273.54 × 232,412.63
  4. Step 4: Simplify right side
    423,381.83x = 135,792,547,730.47
  5. Step 5: Solve for x
    x = 135,792,547,730.47/423,381.83
  6. Step 6: Final answer
    x = 320,733.06

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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.