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Finding the Fourth Proportional to 589,762.50, 884,643.75 and 146,530.50

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Solution

The fourth proportional to 589,762.50, 884,643.75 and 146,530.50 is: 219,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,762.50 : 884,643.75 = 146,530.50 : x
  2. Step 2: Convert to fraction form
    589,762.50/884,643.75 = 146,530.50/x
  3. Step 3: Cross multiply
    589,762.50x = 884,643.75 × 146,530.50
  4. Step 4: Simplify right side
    589,762.50x = 129,627,291,009.38
  5. Step 5: Solve for x
    x = 129,627,291,009.38/589,762.50
  6. Step 6: Final answer
    x = 219,795.75

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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.