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Finding the Fourth Proportional to 514,792.04, 710,412.54 and 288,439.16

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Solution

The fourth proportional to 514,792.04, 710,412.54 and 288,439.16 is: 398,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,792.04 : 710,412.54 = 288,439.16 : x
  2. Step 2: Convert to fraction form
    514,792.04/710,412.54 = 288,439.16/x
  3. Step 3: Cross multiply
    514,792.04x = 710,412.54 × 288,439.16
  4. Step 4: Simplify right side
    514,792.04x = 204,910,796,291.07
  5. Step 5: Solve for x
    x = 204,910,796,291.07/514,792.04
  6. Step 6: Final answer
    x = 398,045.77

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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.