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Finding the Fourth Proportional to 589,008, 883,520.64 and 145,776

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Solution

The fourth proportional to 589,008, 883,520.64 and 145,776 is: 218,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,008 : 883,520.64 = 145,776 : x
  2. Step 2: Convert to fraction form
    589,008/883,520.64 = 145,776/x
  3. Step 3: Cross multiply
    589,008x = 883,520.64 × 145,776
  4. Step 4: Simplify right side
    589,008x = 128,796,104,816.64
  5. Step 5: Solve for x
    x = 128,796,104,816.64/589,008
  6. Step 6: Final answer
    x = 218,666.14

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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.