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Finding the Fourth Proportional to 822,352.12, 1,134,783.66 and 500,017.48

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Solution

The fourth proportional to 822,352.12, 1,134,783.66 and 500,017.48 is: 689,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,352.12 : 1,134,783.66 = 500,017.48 : x
  2. Step 2: Convert to fraction form
    822,352.12/1,134,783.66 = 500,017.48/x
  3. Step 3: Cross multiply
    822,352.12x = 1,134,783.66 × 500,017.48
  4. Step 4: Simplify right side
    822,352.12x = 567,411,666,018.38
  5. Step 5: Solve for x
    x = 567,411,666,018.38/822,352.12
  6. Step 6: Final answer
    x = 689,986.26

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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.