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Finding the Fourth Proportional to 360,752, 497,836.14 and 207,734.36

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Solution

The fourth proportional to 360,752, 497,836.14 and 207,734.36 is: 286,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,752 : 497,836.14 = 207,734.36 : x
  2. Step 2: Convert to fraction form
    360,752/497,836.14 = 207,734.36/x
  3. Step 3: Cross multiply
    360,752x = 497,836.14 × 207,734.36
  4. Step 4: Simplify right side
    360,752x = 103,417,671,927.77
  5. Step 5: Solve for x
    x = 103,417,671,927.77/360,752
  6. Step 6: Final answer
    x = 286,672.48

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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.