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Finding the Fourth Proportional to 403,225.60, 604,838.40 and 166,446.40

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Solution

The fourth proportional to 403,225.60, 604,838.40 and 166,446.40 is: 249,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,225.60 : 604,838.40 = 166,446.40 : x
  2. Step 2: Convert to fraction form
    403,225.60/604,838.40 = 166,446.40/x
  3. Step 3: Cross multiply
    403,225.60x = 604,838.40 × 166,446.40
  4. Step 4: Simplify right side
    403,225.60x = 100,673,174,261.76
  5. Step 5: Solve for x
    x = 100,673,174,261.76/403,225.60
  6. Step 6: Final answer
    x = 249,669.60

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1.5x scale

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.