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Finding the Fourth Proportional to 359,924.19, 496,699.34 and 207,038.31

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Solution

The fourth proportional to 359,924.19, 496,699.34 and 207,038.31 is: 285,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,924.19 : 496,699.34 = 207,038.31 : x
  2. Step 2: Convert to fraction form
    359,924.19/496,699.34 = 207,038.31/x
  3. Step 3: Cross multiply
    359,924.19x = 496,699.34 × 207,038.31
  4. Step 4: Simplify right side
    359,924.19x = 102,835,791,931.72
  5. Step 5: Solve for x
    x = 102,835,791,931.72/359,924.19
  6. Step 6: Final answer
    x = 285,715.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.