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Finding the Fourth Proportional to 346,851, 478,654.38 and 187,875

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Solution

The fourth proportional to 346,851, 478,654.38 and 187,875 is: 259,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,851 : 478,654.38 = 187,875 : x
  2. Step 2: Convert to fraction form
    346,851/478,654.38 = 187,875/x
  3. Step 3: Cross multiply
    346,851x = 478,654.38 × 187,875
  4. Step 4: Simplify right side
    346,851x = 89,927,191,642.50
  5. Step 5: Solve for x
    x = 89,927,191,642.50/346,851
  6. Step 6: Final answer
    x = 259,267.50

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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.