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Finding the Fourth Proportional to 473,609.58, 709,802.01 and 354,345.18

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Solution

The fourth proportional to 473,609.58, 709,802.01 and 354,345.18 is: 531,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,609.58 : 709,802.01 = 354,345.18 : x
  2. Step 2: Convert to fraction form
    473,609.58/709,802.01 = 354,345.18/x
  3. Step 3: Cross multiply
    473,609.58x = 709,802.01 × 354,345.18
  4. Step 4: Simplify right side
    473,609.58x = 251,514,920,997.81
  5. Step 5: Solve for x
    x = 251,514,920,997.81/473,609.58
  6. Step 6: Final answer
    x = 531,059.61

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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.