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Finding the Fourth Proportional to 517,706.15, 714,433.97 and 291,356.51

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Solution

The fourth proportional to 517,706.15, 714,433.97 and 291,356.51 is: 402,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,706.15 : 714,433.97 = 291,356.51 : x
  2. Step 2: Convert to fraction form
    517,706.15/714,433.97 = 291,356.51/x
  3. Step 3: Cross multiply
    517,706.15x = 714,433.97 × 291,356.51
  4. Step 4: Simplify right side
    517,706.15x = 208,154,985,280.87
  5. Step 5: Solve for x
    x = 208,154,985,280.87/517,706.15
  6. Step 6: Final answer
    x = 402,071.69

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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.