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Finding the Fourth Proportional to 507,547, 761,371.94 and 187,783.30

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Solution

The fourth proportional to 507,547, 761,371.94 and 187,783.30 is: 281,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,547 : 761,371.94 = 187,783.30 : x
  2. Step 2: Convert to fraction form
    507,547/761,371.94 = 187,783.30/x
  3. Step 3: Cross multiply
    507,547x = 761,371.94 × 187,783.30
  4. Step 4: Simplify right side
    507,547x = 142,972,935,420.60
  5. Step 5: Solve for x
    x = 142,972,935,420.60/507,547
  6. Step 6: Final answer
    x = 281,693.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.