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Finding the Fourth Proportional to 507,547, 700,437.81 and 281,192.50

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Solution

The fourth proportional to 507,547, 700,437.81 and 281,192.50 is: 388,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,547 : 700,437.81 = 281,192.50 : x
  2. Step 2: Convert to fraction form
    507,547/700,437.81 = 281,192.50/x
  3. Step 3: Cross multiply
    507,547x = 700,437.81 × 281,192.50
  4. Step 4: Simplify right side
    507,547x = 196,957,858,888.43
  5. Step 5: Solve for x
    x = 196,957,858,888.43/507,547
  6. Step 6: Final answer
    x = 388,058.36

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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.