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Finding the Fourth Proportional to 375,417.10, 562,459.83 and 311,864.50

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Solution

The fourth proportional to 375,417.10, 562,459.83 and 311,864.50 is: 467,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,417.10 : 562,459.83 = 311,864.50 : x
  2. Step 2: Convert to fraction form
    375,417.10/562,459.83 = 311,864.50/x
  3. Step 3: Cross multiply
    375,417.10x = 562,459.83 × 311,864.50
  4. Step 4: Simplify right side
    375,417.10x = 175,411,253,653.04
  5. Step 5: Solve for x
    x = 175,411,253,653.04/375,417.10
  6. Step 6: Final answer
    x = 467,243.64

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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.