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Finding the Fourth Proportional to 346,570, 478,268.04 and 187,594

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Solution

The fourth proportional to 346,570, 478,268.04 and 187,594 is: 258,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,570 : 478,268.04 = 187,594 : x
  2. Step 2: Convert to fraction form
    346,570/478,268.04 = 187,594/x
  3. Step 3: Cross multiply
    346,570x = 478,268.04 × 187,594
  4. Step 4: Simplify right side
    346,570x = 89,720,214,695.76
  5. Step 5: Solve for x
    x = 89,720,214,695.76/346,570
  6. Step 6: Final answer
    x = 258,880.50

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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.