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Finding the Fourth Proportional to 514,793.04, 710,413.92 and 288,440.16

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Solution

The fourth proportional to 514,793.04, 710,413.92 and 288,440.16 is: 398,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,793.04 : 710,413.92 = 288,440.16 : x
  2. Step 2: Convert to fraction form
    514,793.04/710,413.92 = 288,440.16/x
  3. Step 3: Cross multiply
    514,793.04x = 710,413.92 × 288,440.16
  4. Step 4: Simplify right side
    514,793.04x = 204,911,904,751.03
  5. Step 5: Solve for x
    x = 204,911,904,751.03/514,793.04
  6. Step 6: Final answer
    x = 398,047.15

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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.