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Finding the Fourth Proportional to 614,706, 848,300.88 and 346,434

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Solution

The fourth proportional to 614,706, 848,300.88 and 346,434 is: 478,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,706 : 848,300.88 = 346,434 : x
  2. Step 2: Convert to fraction form
    614,706/848,300.88 = 346,434/x
  3. Step 3: Cross multiply
    614,706x = 848,300.88 × 346,434
  4. Step 4: Simplify right side
    614,706x = 293,880,267,061.92
  5. Step 5: Solve for x
    x = 293,880,267,061.92/614,706
  6. Step 6: Final answer
    x = 478,082.64

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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.