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Finding the Fourth Proportional to 760,689, 1,049,746.86 and 416,518.68

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Solution

The fourth proportional to 760,689, 1,049,746.86 and 416,518.68 is: 574,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,689 : 1,049,746.86 = 416,518.68 : x
  2. Step 2: Convert to fraction form
    760,689/1,049,746.86 = 416,518.68/x
  3. Step 3: Cross multiply
    760,689x = 1,049,746.86 × 416,518.68
  4. Step 4: Simplify right side
    760,689x = 437,239,176,461.35
  5. Step 5: Solve for x
    x = 437,239,176,461.35/760,689
  6. Step 6: Final answer
    x = 574,793.61

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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.