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Finding the Fourth Proportional to 403,457.10, 604,966.95 and 166,532.10

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Solution

The fourth proportional to 403,457.10, 604,966.95 and 166,532.10 is: 249,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,457.10 : 604,966.95 = 166,532.10 : x
  2. Step 2: Convert to fraction form
    403,457.10/604,966.95 = 166,532.10/x
  3. Step 3: Cross multiply
    403,457.10x = 604,966.95 × 166,532.10
  4. Step 4: Simplify right side
    403,457.10x = 100,746,416,614.10
  5. Step 5: Solve for x
    x = 100,746,416,614.10/403,457.10
  6. Step 6: Final answer
    x = 249,707.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.