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Finding the Fourth Proportional to 585,015, 877,522.50 and 141,783

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Solution

The fourth proportional to 585,015, 877,522.50 and 141,783 is: 212,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,015 : 877,522.50 = 141,783 : x
  2. Step 2: Convert to fraction form
    585,015/877,522.50 = 141,783/x
  3. Step 3: Cross multiply
    585,015x = 877,522.50 × 141,783
  4. Step 4: Simplify right side
    585,015x = 124,417,772,617.50
  5. Step 5: Solve for x
    x = 124,417,772,617.50/585,015
  6. Step 6: Final answer
    x = 212,674.50

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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.