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Finding the Fourth Proportional to 564,124.76, 778,478.64 and 309,473.72

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Solution

The fourth proportional to 564,124.76, 778,478.64 and 309,473.72 is: 427,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,124.76 : 778,478.64 = 309,473.72 : x
  2. Step 2: Convert to fraction form
    564,124.76/778,478.64 = 309,473.72/x
  3. Step 3: Cross multiply
    564,124.76x = 778,478.64 × 309,473.72
  4. Step 4: Simplify right side
    564,124.76x = 240,918,680,661.34
  5. Step 5: Solve for x
    x = 240,918,680,661.34/564,124.76
  6. Step 6: Final answer
    x = 427,066.31

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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.