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Finding the Fourth Proportional to 390,015, 585,022.50 and 94,527

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Solution

The fourth proportional to 390,015, 585,022.50 and 94,527 is: 141,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015 : 585,022.50 = 94,527 : x
  2. Step 2: Convert to fraction form
    390,015/585,022.50 = 94,527/x
  3. Step 3: Cross multiply
    390,015x = 585,022.50 × 94,527
  4. Step 4: Simplify right side
    390,015x = 55,300,421,857.50
  5. Step 5: Solve for x
    x = 55,300,421,857.50/390,015
  6. Step 6: Final answer
    x = 141,790.50

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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.