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Finding the Fourth Proportional to 871,828.68, 1,202,897.88 and 509,202.22

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Solution

The fourth proportional to 871,828.68, 1,202,897.88 and 509,202.22 is: 702,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,828.68 : 1,202,897.88 = 509,202.22 : x
  2. Step 2: Convert to fraction form
    871,828.68/1,202,897.88 = 509,202.22/x
  3. Step 3: Cross multiply
    871,828.68x = 1,202,897.88 × 509,202.22
  4. Step 4: Simplify right side
    871,828.68x = 612,518,270,929.29
  5. Step 5: Solve for x
    x = 612,518,270,929.29/871,828.68
  6. Step 6: Final answer
    x = 702,567.24

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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.