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Finding the Fourth Proportional to 473,345.40, 710,018.10 and 286,721.40

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Solution

The fourth proportional to 473,345.40, 710,018.10 and 286,721.40 is: 430,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,345.40 : 710,018.10 = 286,721.40 : x
  2. Step 2: Convert to fraction form
    473,345.40/710,018.10 = 286,721.40/x
  3. Step 3: Cross multiply
    473,345.40x = 710,018.10 × 286,721.40
  4. Step 4: Simplify right side
    473,345.40x = 203,577,383,657.34
  5. Step 5: Solve for x
    x = 203,577,383,657.34/473,345.40
  6. Step 6: Final answer
    x = 430,082.10

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1.5x scale

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.