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Finding the Fourth Proportional to 282,993.84, 390,496.05 and 191,312.64

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Solution

The fourth proportional to 282,993.84, 390,496.05 and 191,312.64 is: 263,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,993.84 : 390,496.05 = 191,312.64 : x
  2. Step 2: Convert to fraction form
    282,993.84/390,496.05 = 191,312.64/x
  3. Step 3: Cross multiply
    282,993.84x = 390,496.05 × 191,312.64
  4. Step 4: Simplify right side
    282,993.84x = 74,706,830,235.07
  5. Step 5: Solve for x
    x = 74,706,830,235.07/282,993.84
  6. Step 6: Final answer
    x = 263,987.48

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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.