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Finding the Fourth Proportional to 514,639.95, 710,194.46 and 285,196.77

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Solution

The fourth proportional to 514,639.95, 710,194.46 and 285,196.77 is: 393,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,639.95 : 710,194.46 = 285,196.77 : x
  2. Step 2: Convert to fraction form
    514,639.95/710,194.46 = 285,196.77/x
  3. Step 3: Cross multiply
    514,639.95x = 710,194.46 × 285,196.77
  4. Step 4: Simplify right side
    514,639.95x = 202,545,168,643.25
  5. Step 5: Solve for x
    x = 202,545,168,643.25/514,639.95
  6. Step 6: Final answer
    x = 393,566.74

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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.