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Finding the Fourth Proportional to 561,442.24, 774,570.32 and 346,208.64

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Solution

The fourth proportional to 561,442.24, 774,570.32 and 346,208.64 is: 477,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,442.24 : 774,570.32 = 346,208.64 : x
  2. Step 2: Convert to fraction form
    561,442.24/774,570.32 = 346,208.64/x
  3. Step 3: Cross multiply
    561,442.24x = 774,570.32 × 346,208.64
  4. Step 4: Simplify right side
    561,442.24x = 268,162,937,071.57
  5. Step 5: Solve for x
    x = 268,162,937,071.57/561,442.24
  6. Step 6: Final answer
    x = 477,632.28

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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.