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Finding the Fourth Proportional to 359,932, 496,706.20 and 209,038.72

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Solution

The fourth proportional to 359,932, 496,706.20 and 209,038.72 is: 288,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,932 : 496,706.20 = 209,038.72 : x
  2. Step 2: Convert to fraction form
    359,932/496,706.20 = 209,038.72/x
  3. Step 3: Cross multiply
    359,932x = 496,706.20 × 209,038.72
  4. Step 4: Simplify right side
    359,932x = 103,830,828,264.06
  5. Step 5: Solve for x
    x = 103,830,828,264.06/359,932
  6. Step 6: Final answer
    x = 288,473.46

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