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Finding the Fourth Proportional to 473,768, 710,497.92 and 158,140.16

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Solution

The fourth proportional to 473,768, 710,497.92 and 158,140.16 is: 237,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,768 : 710,497.92 = 158,140.16 : x
  2. Step 2: Convert to fraction form
    473,768/710,497.92 = 158,140.16/x
  3. Step 3: Cross multiply
    473,768x = 710,497.92 × 158,140.16
  4. Step 4: Simplify right side
    473,768x = 112,358,254,748.47
  5. Step 5: Solve for x
    x = 112,358,254,748.47/473,768
  6. Step 6: Final answer
    x = 237,158.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.