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Finding the Fourth Proportional to 403,214.60, 604,821.90 and 166,435.40

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Solution

The fourth proportional to 403,214.60, 604,821.90 and 166,435.40 is: 249,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214.60 : 604,821.90 = 166,435.40 : x
  2. Step 2: Convert to fraction form
    403,214.60/604,821.90 = 166,435.40/x
  3. Step 3: Cross multiply
    403,214.60x = 604,821.90 × 166,435.40
  4. Step 4: Simplify right side
    403,214.60x = 100,663,774,855.26
  5. Step 5: Solve for x
    x = 100,663,774,855.26/403,214.60
  6. Step 6: Final answer
    x = 249,653.10

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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.