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Finding the Fourth Proportional to 369,411.75, 509,776.65 and 208,264.47

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Solution

The fourth proportional to 369,411.75, 509,776.65 and 208,264.47 is: 287,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,411.75 : 509,776.65 = 208,264.47 : x
  2. Step 2: Convert to fraction form
    369,411.75/509,776.65 = 208,264.47/x
  3. Step 3: Cross multiply
    369,411.75x = 509,776.65 × 208,264.47
  4. Step 4: Simplify right side
    369,411.75x = 106,168,363,830.63
  5. Step 5: Solve for x
    x = 106,168,363,830.63/369,411.75
  6. Step 6: Final answer
    x = 287,398.45

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1.5x scale

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.