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Finding the Fourth Proportional to 397,485.64, 596,223.18 and 97,969.80

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Solution

The fourth proportional to 397,485.64, 596,223.18 and 97,969.80 is: 146,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,485.64 : 596,223.18 = 97,969.80 : x
  2. Step 2: Convert to fraction form
    397,485.64/596,223.18 = 97,969.80/x
  3. Step 3: Cross multiply
    397,485.64x = 596,223.18 × 97,969.80
  4. Step 4: Simplify right side
    397,485.64x = 58,411,865,699.96
  5. Step 5: Solve for x
    x = 58,411,865,699.96/397,485.64
  6. Step 6: Final answer
    x = 146,953.40

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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.